,,-,) eF- 7 teSenses. A MANUAL i:, . I- " S OF ELEMENTARY INSTRUCTION, FOR THE USE OF PUBLIC AND PRIVATE SCHOOLS AND NORMAL CLASSES; CONTAINING A GRADUATED COURSE OF OBJECT LIE S SONS FOR TRAINING THE SENSES AND DEVELOPING THE FACULTIES OJ CHILDREN. BY E. A.SHEID-])ON, SUPEERINTENDENT OF SCHOOLS — OSWEGO, N.,Y.; ASSISTED -BY MIISS M. E. M. JONES AND PROF I. KRUSL SIXTH EDITION, REVISED AND ENLARGED. NEW YORK: CHARLES SCRIBNER & CO., No. 654 BROADWAY. 1869. Entered, according to act of Congress, in the year 1862, by, CHARLES SCRIBNER, In the Clerk's Office of the District Court of the United States for the Southern District of New York. JOHN F. TIOW, PRINTER, SEREOTYPER, AND ELECTI'ATPW 48 & 50 Greene Street, New York. PREFACE. FOR many years there has been a growing convice tion in the' minds of the thinking men of this country, that our methods of primary instruction are very defective, because they are not properly adapted either to the mental, moral, or physical conditions of childhood. But little reference has hitherto been had to any natural order in the development of the faculties, or to the many peculiar characteristics of children. Memory, by no means the most important of the infant faculties, and reason, at this age but faintly developed, have been severely taxed, while but little direct systematic effort has been made to awaken and quicken the perceptive faczulties, which are the first to develop themselves, and upon the proper cultivation of which we must depend for success in all our future educational processes. Even in schools where better views have prevailed, the want of some systematic exercises, with proper apparatus and facilities for putting them into practice, has been strongly felt. The -design of this work is to meet this demand: to present a deyfinite course of elementary instruction adapted to philosophic views of the "laws of childhood." We do not claim for it originality, either in thought or method. It is now a full half century since that dis tinguished educational reformer, Pestalozzi, to a great ol PREFACE. extent gave expression and embodiment to the principles and methods herein contained. Important modifications have however been made; many errors both in principles and practice have been eradicated, and we are now able to bring to bear the sug gestions of some of the mlost distinguished educators in Europe, based upon many years of careful study and ex periiiient. The work upon which this is founded, and from which, with the kind consent of its authoress, Miss Elizabeth ]Mayo, we have largely drawn, is, as stated in her preface, " A Manual, in two volumes, containing the essential portions of the five in which alone such help has hitherto been attainable; and this, too, with the addition of much valuable matter which is now published for the first time." This work, entitled "Manual of Elementary Instruc tion," has been compiled within the past year, and brings down to us the light and experience of the best schools of Europe, where these methods have been longest and most thoroughly tested. She further says, "The whole work has been carefully reconstructed on a plan which presents principles and practice in immediate connection, in order to illustrate their mutual dependence; all details of practice being exhibited as flowing naturally from the first truths on which they are founded." While the general plan of this work has been followed, and some of the lessons adopted with slight changes, a lag'e prolportion of original matter has been added, and the wolioe arranged with special reference to the wants o. o-Lr Americ(an s(chools. Tbie Lesions on Objects, Color, Moral T]nstructi()I. L}s(rns oil Animals, and the Introduction hleave been made up from the original mnuscripts of Miss M3. E. 6 PREFACE. M. Jones, with such exceptions as are indicated, and the whole arranged by her. For more than fifteen years this lady was engaged in training teachers in these methods in the Home and Colonial Training Institution, London, and has been connected with the schools of this country sufficiently long to understand something of their wants. Prof. Hermann Krusi* is the author of the Lessons on Form and Inventive Drawing. He has also rewritten and arranged the third step in Number. His suggestions on many other points have been very valuable. WVe can but congratulate ourselves and those engaged in primary instruction for this timely aid from one so eminently fitted for the work.t Of the remaining subjects, Reading has been entirely rewritten. The Lessons on Place or Geography have been slightly changed, introducing two or three original sketches of lessons in the first step, and so changing the third step as to adapt it to our American locality. Some changes have also been made in the Lessons on Sound, Size, and Weight; new matter added, and, in two or three instances, substituted for that contained in the old velumes. While these lessons are prepared for primary schools, they are also arranged with special reference to use in * At present teacher in the Oswego Training School. t Prof. K. was born, as it were, in the very school of Pestalezzi, in which his father was fgr twenty years a leading and active teacher. For ten years he was engaged with his father in teaching a government school for the training of teachers in Pestalpzzian principles, in one of the cantons of Switzerland, his native country. After this, he was for six years engaged in the Hpme and Cqlonial Institution, waking out and adapting these methods tq the English schWls; and it was here that he first brought out the Inventive Drawing. In this country he has been for several years engaged in teaching normal schools and teachers' institutes. Hle has studied carefully the characteristics (f our schools and peqple; and is, in every way, abundantly qualified to adapt this system to our peculiarities and wants. 7 PREFACE. Normal and Training classes. Model lessons are given: and then subjects suggested on which similar lessons may be drawn up. The models should be carefully examined and analyzed, and, in the case of classes in training, the original sketches should in every instance be submitted to the criticism of the teacher. By individual teachers, these sketches may be written out and used as lessons in their schools. In some of the less,)ns, general directions only are given; in others, these directions are more particular; while many are drawn out at full length, including both questions and answers. In any case, they are only designed as suggestions and models to guide teachers in working out their own lans and methods. Teachers who confine themselves simply to the lessons presented in this book, and to their exact minutiae, can but fail in their work. To be truly successful, they must catch the spirit and philosophy of the system, and work it out somewhat in their own way; of course, always conforming to the principles upon which it is based: these we believe to be sound and philosophical, and they should never be violated. The lessons that have been taken with no alteration, other than an occasional verbal expression, have been indicated either in the index, or in the body of the work where they occur, by the letter M. It is now more than four years since these methods were practically and thoroughly introduced into the Oswego schools, and from a constant and careful observation of their working, we feel that we are in some degree prepared to judge as to what is wanted in a book of this kind for our teachers and schools; and we trust we may not be disappointed in the hope that it will meet these wants. The subjects are arranged into steps, simply with reference to the order of time in which it is thought various 8 PREFACE. portions of the work may be accomplished. All first-step lessons are designed for children from four to five years of age, or during the first year of their school life. In the same way the second step is designed for the second year, and the third step for the third year; thus covering the time usually allotted to our primary departments in towns where the schools are graded. In some instances a fonrth step is added, which is designed for the next grade. The order of succession in which the various subjects are arranged, has no reference to any order in which it may be supposed they should be taken up. While it is the design that the lessons of each step, in every subject, shall be taken up at the same stage of the child's development, it is not expected that they will all be treated simultaneously. From three to five only are taken at once, and these are carried on until the interest of the children begins to flag, when they are changed for other subjects, which in their turn are to be changed, as the children weary, for others still, until we again return to the first course, to resume it, after a rapid review, where we left it. This necessity for change with little children cannot be too carefully observed; for no matter how interesting the subject is at first, they will in time tire of it; and a lively interest can only be maintained by change. Reading, spelling, and number are the only subjects that are constant. With the youngest children the programme should change fortnightly, and with the older ones monthly. In the Appendix may be seen some programmes of the Oswego schools, which will give a very good idea of the way in which these may be arranged. In the country schools, where no such gradation and classification are possible, where the teachers find it im practicable to take up all the topics, as they usually will, they must confine themselves to those which seem to them of the most practical importance; as, for instance, Moral 1* 9 PREFACE. Instruction, Reading, Geography, Number, Language, Form, Color, and Size. Others might make a different selection of subjects: we only call attention to this, by way of expressing our view of the importance of doing well and thoroughly whatever is undertaken. It may seem difficult to make a selection of subjects where all are important; but it is better to leave half of them untouched than to undertake to do all, and do nothing as it should be done. Whatever is taught, let it be taught with reference to correct principles. E. A. SHELDON. OSWEGO, A9ug. 25, 1862. Explanation of Abbreviations. S. R.-Simultaneous repetition. W. B.-Write on the board. R. T.-Repeat together. 10 CONTENTS INTRODUCTION,.... 13 Necessity of Training,...... 13 Pestalozzian Plans and Principles,... 14 Preparation of Sketches,.. 16 Criticism Lessons,.... 24 Reports of Model Lessons,..... 40 Miscellaneous Exercises,...... 42 COLOR,........ 45 FORM,. * 62 OBJECTS,........ 86 NU R.. 138 SIE e. e *. 200 ~ I T.. 208 ... 212 ~.. 219 ,.. 231 br . 258 ~.. 263 . 292 in ~.. 310 ~.. 359 ~.. 884:;" ~.. 419 SOUND,.. LANGUAGE (M.), READING,.21 DICTATION (M.),... GEOGRAPHY, -. LESSONS ON THE HUMAN BODY (M.),. LESSONS ON ANIMALS, LESSONS ON PLANTS (M.), MORAL INSTRUCTION,. DRAWING,.. PAGE NUMBER, SIZE,. WEIGHT, Abbreviations used in the Work. S. R. Simultaneous Repetition. R. T. Repeat Together. W. B. Write on the Board. MANUAL ELEMENTARY INSTRUCTIONl INTRODUCTION. I.-NECESSITY OF TRAINING. II.-PESTALOZZIAN PLANS AND PRINCIPLES. III.-PREPARA,TION OF SKETCHES. IV.-CRITICISM LESSONS. V.-EEPORTS OF MODEL LESSONS. LI.-MISCELLANEOUS EXERCISES IN METHOD. T.-Necessity of Training. WERE we to undertake to discuss the importance of a regular apprenticeship to the mechanic who builds houses or makes machines, or of a professional education to the artist, the lawyer, or the physician, we should expose ourselves to public ridicule. It is too self-evident to admit of sober discussion. All regard it a necessity. And even when a thorough professional education has been obtained, or a complete term of service as apprentice served, we are slow to employ them until their success has been tested by long experience. We are slow to trust the setting of a broken bone to one who has not given practical demonstrations of his skill. And yet these things are important only in a physical sense-the lowest of all human wants and necessities. How much more, then, would it seem important that those to whom we intrust the moral and intellectual destiny of the race should be carefully educated and prepared with special reference to their work! It would seem too obvious to require an argument, that every OF 0 *. lp INTRODUCTION. teacher should clearly comprehend the character of the infant mind, and its mode of operation-the way in which each faculty stauds related to the other, and the order of its evolution-as also the related order of appliances in the process of development, together with a knowledge of the many striking peculiarities and characteristics of children. It is clear that, without this knowledge, teachers go blindly at their work, and can but fall into many and grievous errors. One thing is certain, that with the principles and methods here discussed, no one can hope to succeed who does not carefully study and intelligently practise them. II.-Pestalozzian Plans and Principles. There are several different ways of giving a lesson. EXAMPLE.-SiX ways of giving a Lesson on a Plant. 1. Account of the plant learned by children from a book, and repeated to the teacher. 2. I)escription learned and repeated as before, teacher afterward explaining the meaning. 3. Piece first explained by the teacher, then learned by the children, and repeated. 4. Picture shown-parts pointed out by teacher. Description learned, and repeated as before. 5. Specimens given-parts examined first by teacher, then observed by the children. 6. Specimens distributed-parts found out by the children, who frame a description, which is put on the board and committed to memory. We need not add that the latter is the correct method. All lessons should be given in accordance with the following principles, which were laid down by Pestalozzi: 1. Activity is a law of childhood. Accustom the child to doeducate the hand. 14 PESTALOZZIAN PLANS AND PRINCIPLES. 2. Cultivate the faculties in their natural order-first form the mind, then furnish it. 3. Begin with the senses, and never tell a child what he can discover for himself. 4. Reduce every subject to its elements-one difficulty at a time is enough for a child. 5. Proceed step by step. Be thorough. The measure of in. formation is not what the teacher can give, but what the child can receive. 6. Let every lesson have a point; either immediate or re mote. 7. Develop the idea-then give the term-cultivate language. 8. Proceed from the known to the unknown-from the particular to the general-from the concrete to the abstract-from the simple to the more difficult. 9. First synthesis, then analysis-not the order of the subject, but the order of nature. Of course, the educational teacher, in addressing a class of students, would explain and illustrate these principles. In order to ascertain whether they are thoroughly comprehended, the following questions may be put. Answers should be given in writing. QUESTIONS. 1. A teacher begins Arithmetic by teaching a child to count orally, 1, 2, 3, 4, &c. What principle is violated? 2. A teacher teaches multiplication by letting the children sing the tables. What principle is violated? 3. He begins Geography by use of globes, pointing out continents, &c. What principle is violated? 4. He begins Natural History by taking the children into a museum where there are specimens of all kinds, and makes a classification. What principle is violated? 5. To develop an idea, he begins by saying: "Children, I am going to teach you something:'All things through which 15 INTRODUCTION. we can see clearly are transparent.' Look at this piece of glass." What principle is violated? 6. Having developed an idea, he omits to give the term or put it on the board. What principle is violated? 7. He gives a lesson on coal, without presenting the object. What principle is violated? 8. He gives a lesson without observing any divisions either by S. R. (simultaneous repetition), or by W. B. (writing on the board). What principle is violated? 9. He teaches Reading by the same method. What principle is violated? 10. He adopts a uniform plan in all lessons, so that the child. ren always know in what order a subject will be represented.. What principle is violated? 11. He tells the children that water is a liquid, and then shows what a liquid is. What principle is violated? 12. He gives a lesson on position and distance, always measuring and representing the object himself What principle is violated? 13. He gives a lesson on the lion, before the children have had one on the cat. What principle is violated? 14. He gives a lesson on perching birds as an order, before any have been given on the robin, canary, and other individuals. What principle is violated? 15. The teacher, giving a lesson on a tiger, refers to the catlets one child talk of the cat at home, another of the dog, a third of the horse, a fourth of riding the horse to town. What principle is violated? 16. He undertakes to give lessons on the parts of speech to children who have had no lessons on objects. What principle is violated? III.-Preparation of Sketches. Too much stress cannot be laid on the importance of preparing notes or sketches in writing. It is not too much to say that no lesson ought to be given, a sketch of which has not been systematically prepared. In training students to this work it is found 16 PREPARATION OF SKETCHES. desirable to begin with an examination and analysis of a few sim ple lessons. FIRST ExAMPLE.-Sketch on Water. (See " Objects," Second Step.) Directions for Analysis. 1. Matter to be separated from method. 2. Point to be found, whether definitely stated, or contained in the title, or in the head. 3. Terms and information given to be distinguished from ideas developed. 4. Ideas developed, whether (a) by addressing the senses directly. (b) by comparison. (c) by experiment. (d) by addressing the reason. 5. Illustration-Use of Board-S. R.-Ellipses-Kind of Summary. The analysis of the lesson on water as made by students should appear thus: 1. Matter. See Summary. 2. Point is contained in the heads, which are General qualities. Uses, and special qualities on which uses depend. 3. Terms given-liquid and bright; information given-every country is well supplied with water. 4. Ideas developed: (a) Water is bright-has neither taste nor smell. (b) Water is a liquid-has no color-can be seen through. (c) Water is useful for washing and drinking. (Memory.) (d) Water is used for washing, on account of the absence of color and smell. 5. Illustrations-Ellipses and S. R.-Summary elliptical. 17 INTRODUCTION. SECOND EXAMPLE. —Lesson on Writing Paper. Wlat is this? Paper. W'hence do we get paper? Does it grow upon any plant? Does it come from off any animal? Do we dig it out of the ground? How do we get it then? It is made. Yes, it is made by man: but did man make it out of noth ing? No; he must have something to make it from. Do you know of what paper is made? It is made of rags. Yes, the best paper is made of linen rags. Of what is linen made? Do you not know? It is made from the fibrous stem of a very pretty plant. Here is a picture of it; it is called flax. Repeat together, "Paper is made of rags; the finest paper is made of linen rags; linen is made from the fibrous stem of a plant called flax." Now, children, look at the paper, and tell me what you observe about it. It is white. This paper is white, but what is this? Blue. And this? Brown. What kind of paper is white? Writing paper. Try and find out why writing paper is made white. That we may see the writing upon it. Look at it and feel it. It is smooth. Put it between your thumb and finger. It is thin. Try again. It is light. Repeat together these qualities, " Writing paper is smooth, thin, and light." Now hold it toward the window. We can see through it. Can you see through it as well as you do through glass? What is the difference? We can see everything quite clearly through the glass; but through paper we only see the dim light. What did we say of glass? That it is transparent; but we say of objects through which we can see light only, that they are translucent. What can we say of paper? It is translucent. Try what you can do with paper. We can tear it. What more? We can bend it and fold it. Yes; on account of this quality it is said to be pliable. Repeat together, "Paper is easily torn: it can be easily bent and folded: it is pliable." See, I have p,lt a part of this sheet of paper into the fire. It burns. It is inflammable. Why do we call paper inflammable? Because it burns readily. Tell me some other things that are inflanmmab)le. Wood, coal, &c. Of what use is this kind of paper? To write upon. Yes; and when you are grown up, and perhaps have to i8 PREPARATION OF SKETCHES, live very far away from your father and mother and brothers, Low pleasant you will think it to receive a sheet of paper folded up, and brought to you by the postman, to tell you how they all are, and how they are getting on I What is such folded-up sheet of paper called? Yes, a letter. How glad you will then be, that when you were young you went to school, and learnt to read, so that you can understand what is written in the letter brought by the postman. After you have told me all you have found out about writing paper, and sung a hymn, I will tell you a true little history about writing. Now all repeat together, "Writing paper is made of linen rays; linen is made from the fibrous stem of a plant called flax: writing paper is white, translucent, and pliable; it is smooth, thin, light, and easily torn; it is inflammable; and it is useful to write upon." After learning to spell any new words met with in the lesson, the children repeat the hymn "I thank the goodness and the grace," &c. Now I will give you the little history I promised. It relates to one of those countries in which they worship idols of wood and stone, and where the people do not know God and Jesus Christ. The Lord put it into the heart of a very good man in England, Mr. Williams, to go over and teach these poor ignorant people how they might be saved and go to heaven. How do the Scriptures say that we can be saved? This good man had to cross the sea, in order to get at this country. How did he manage this? Yes; he went in a ship, and when he arrived at the country where the people did not know God and Jesus Christ, le began to teach them a great many things; he was very kind to them, aind showed them how to build neat little cottages, and places where they mnight learn about God; and he made a ship that would sail upon the water. One day he was working very hard among them, when he found that he had left a tool at home of which he was in need; so he called one of the men, and taking up a chip of wood, wrote upon it the name of the tool he wanted, and desired the man to take it to his wife, and that she would give 19 INTRODUCTION. him something to bring back with him. The man looked aston. ished, and waited for a message. "Go quickly," said Mr. Williams; "I am in haste; show this to my wife, that is all." Now the poor man, though he was a great man in that country, knew nothing about reading or writing, and as he went he thought, How silly it is to take this piece of wood to show. However, he aid as he was bid; he was obedient. How great was his surprise when he had given the chip to Mrs. Williams, to see her look at it and immediately fetch the instrument. "But how do you know," said he, "that this is what Mr. Williams sent me for?" "You brought me a chip of wood," said Mrs. Williams, "and that informed me what I was to give you; you have now only to go back quickly with it." He did so, saying to himself as he returned, What a wonderful people these Englishmen are; they can make even a chip of wood speak! Now, when this chief saw how much more than he or any of his people this kind missionary knew, he became willing that he should teach them about God and Jesus Christ. You see, dear children, how much happier we are than these poor ignorant people. Who gave us our many blessings? God. Yes; He it is who made you happy my dear children. What should you do? Praise Him. Is it enough to praise Him with your lips? No. How, then, should you praise Him? We should praise Him with our hearts. Yes; but when you were singing that pretty little hymn of praise, I did not see you look as if you were really thanking God in your hearts. When a kind person has given you something, I have heard you thank them, and in such a manner, too, that I am sure you felt they had been kind to you. Now I should like to hear you thank God as if you indeed felt all that kindness which He is ever pouring out upon you. The analysis of the lesson on writing paper, as made by the students in training, should appear thus: 1. Matter of the lesson. Paper is artificial. Writing paper is made of linen rags; linen is made of the stem of a plant called flax. Writing paper is white, translucent, thin, light; will tear easily; can be bent and folded; is inflammable; and is useful to write upon. 20 PREPARATION OF SKETCHES. 2. Point is contained in the heads, which are-nature, qualities, and uses of writing paper. 3. Terms given: pliable, translucent, flax; information given -that paper is made from rags (by children)-that linen is made from the stem of the flax plant, and the anecdote (by teacher). 4. Ideas developed: (a) white, smooth, thin, light. (b) translucent; paper is of different colors, though writing paper is usually white. (c) it will bend easily; pliable; it is easily torn; inflam. mable. (d) that we may see to write on it, it is white; it is made by man; artificial, but made of something that only God can make, and for which we must thank Him. Application made: the advantage of learning to write. 5. Illustrations. Picture of flax plant shown, and anecdote told. Mechanicalplans-Hiands out.-Ellipses-S. R.-Elliptical summary. The students in training may next draw up notes on parchment as writing paper. THIRD ExAMPLE.-Sketch of a Lesson on Parchment. I. Matter. Parchment is an animal substance, and it is artificial, being the prepared skin of a sheep. It is yellowish, stiff, thick, tough, odorous, translucent. It frizzles when burning. It is durable, and therefore used to write on when the writing is to be preserved. II. Point. Nature; qualities; use, and quality on which use depends. III. Terms given: parchment, and refer to "Ideas Developed," and supply any terms with which they are unacquainted. Inormation given: parchment is the dried skin of a sheep; it is used to write upon when the writing is to be preserved. IV. Ideas developed: (a) Yellowish white, thin, smooth, odorous. (b) Stiff, translucent. 21 INTRODUCTION. (c) Flexible, tough, frizzles when burning. (d) Animal substance, artificial, durable. [. Illustrations. Qualities written on the board (S. R.). Story told.-Verse given.-Summary read from the board. It is to be observed that the preparation so often referred to consists in drawing up sketches of lessons, not in fully writing out lessons. A report of a full lesson on parchment would appear thus: Report of Lesson on Parchment. Do you know what this is? It is paper. It is like paper. Here is a piece of paper. see if you can find a difference between this and that. The paper is white, and this is yellow. Is it very yellow? It is rather yellow. Say it is yellowish. What did we find out in the last lesson about the color of paper? That it may be of different colors. Then paper may be yellow. I will help you to find out the real difference. What is paper made from? Linen rags. Whence come the linen rags? From the flax plant. But this was never a part of any vegetable; it is the dried skin of a sheep. Does the skin of a sheep look like this? No. What is the difference? The skin of the sheep is woolly. What has been done to it? The wool has been taken off. Yes, and it has been cleaned and smoothed. Who made the skin into parchment? Man. What do we say of things made by man? They are artificial. The dried skin of a sheep is called parchment. I will write on the board the qualities we have discovered: Parchment is an animal substance. " " artificial. " " yellowish white. Now feel the parchment and the paper. The parchment is thicker than the paper. See what you can do with them. We can fold them up. Which folds the more easily? The paper. Yes, the parchment is stiff. Do you know anything else that is stiff? Cards, a pen. Repeat together (R. T.). Things that will not bend nor fold easily are stiff (W. B.). Try once again. We can tear the paper, but we cannot tear the parchment (R. T.). Parchment is tough. Do you know anything else that is tough? India 22 PREPARATION OF SKETCHES. rubber (R. T.). Things that will not tear easily are tough (W.B.). See, I have put it into the fire; it frizzles. But when I put the paper into the fire it burns up with a flame. Think of other things that burn with a flame. Wood, rags. What is paper made from? Rags. And rags come from the flax plant. What does wood come from? Trees. Give me another name for plants and trees. Vegetables. Try and remember what I tell you. Solid things that burn with a flame come from vegetables (R. T.). But how does the parchment burn? It frizzles. Name other things that frizzle. Hair, a bone. What do bones come from? Animals. Hair? Animals. Parchment itself is the skin of an animal. What can you find out from all this? That things that frizzle come from animals (W. B.). WVhat use can we make of this? It will do to write on. It is used to write on. Can you tell me why we use it, when we have plenty of paper? Shall I help you to find out? Which can you destroy more easily; which will last longer-paper or parchment? And why? Because it is tough. Now, if you were writing a note, which would be torn up after it was read, what would do to write your note upon? Paper. But when people want their writing to last for years and years, they write on parchment. The laws of the land are written on parchment. Now, if you answer well, I will tell you a story about this, after we have gone over what is written on the board (R. T.). Once on a time there lived a queen in England, not like the present queen, who is kind and good to all. The former queen was ignorant, harsh, and cruel. There were good people in the country, who loved to read their Bibles and to learn; but there were wicked people, who tried to prevent them from doing this, and they and the queen made a law that whoever read the Bible and worshipped God, as we are told to do, should be burned to death. Now this queen had a servant who was a clever man He knew that such a wicked, unjust law would not last: God would not let it. So they came to him about writing out this law, and said, Shall it be written out on parchment or on paper? He answered, "Take paper; for the poorest paper will last longer than the law." And so it proved, for the poor, mistaken queen died, 23 INTRODUCTION. and then the people could read and pray in peace. There is a hymn about this, beginning I took the sacred Book of God, To keep, to fear, to read it free; But holy martyrs shed their blood To win this word of life for me. Now, what more have I to add to what is board? The Uses of Parchment. IV. Criticism Lessons. Many of the lessons given by the students are called criticism lessons. They are given in the presence of the members of the class, who express opinions on the various points of the lesson; enumerating those in which they think the teacher has succeeded, and those in which they think she has failed. To conduct a criticism properly, it is necessary that there should be a presiding critic, whose opinion is final. The following are the points of criticism which are given as a guide to the class: Points of Criticism. I. Mfatter. 1. Whether suitable to children; whether exercising observation, conception, reason, or all these. 2. Lesson-whether bearing on one point; into what heads divided. 3. Whether, in a Scripture or moral lesson, an application be made; whether the right one. In a lesson on an animal, whether the children are led to see the wisdom and goodness of God in the adaptation of parts to mode of life, and whether human.ie feelings are cultivated. JII. fethocd. 1. Whether the teacher clearly apprehends thie distinQtion between what must be told and what must be given. 24 written on the CRITICISM LESSONS. 2. Whether she distinguishes the various mental faculties one fiom another; knows which should be, and how exercised. 3. Whether good illustrations are used; the specimens large enough and sufficient for distribution; whether diagrams were drawn when required. 4. Whether appropriate questions were used when general answers are wanted. Leading questions only to obtain an admis. sion, on which another question is based. 5. Whether the board was sufficiently used-new terms writ ten on it; also titles and heads of lessons; also, with elder chil. dren, definitions and statements. 6. Summary, of what kind; whether of the kind most appro. priate to the children and the lesson. 7. Whether proper use was made of "hands out" and S. R. III. Teacher. 1. Whether capable of swaying the class according to her will and of awakening sympathy. 2. Whether attending to all, or carrying on the lesson with a few forward children; whether taking the right standing position. 3. Manner-whether appropriate-bustling and excited-slow and languid-cheerful and energetic; whether, if a Scriptural lesson, reverential tone of voice. 4. Language-whether appropriate; syntax and correct pro, nunciation. IV. Children. 1. Whether respectful, attentive; whether interested; if so, to what interest is owing. 2. Whether likely to carry the lesson away as a whole; if a Scripture or moral lesson, whether their hearts were touched. As a clear illustration of the design and method of conducting these lessons, we subjoin the following remarks and sketch, taken from a paper issued by the Home and Colonial Institution of London: Two principal objects are always kept view in training teachers-the first, to make them acquainted Mth the principles 2 25 INTRODUCTION. of education, as founded on the nature of children; the second, to initiate them in the art of teaching. One of the most successful plans for accomplishing the latter point has been that of the teachers giving a gallery lesson, before a class of the students, who criticize the matter and manner of the lesson, according to certain rules with which they have been previously made acquainted; these criticisms being summed up and commented upon by the head master or mistress. This plan acts as a strong stimulus to exertion; it gives the head master the opportunity of bringing out the principles of education, and applying them practically; and at the same time it tends to produce that self-possession so necessary to every teacher of young children. The following is a specimen of what is called a Criticism Lesson, a sketch of which the teacher first prepares; in fact, with a few alterations, it is the report of one actually given at the Model Infant School of the Home and Colonial Institution: SKETCH OF A LESSON ON THE BAT.-CHILDREN FROM FIVE TO SEVEN. The children will be required to observe - I. The pvecutliar organization of the bat. It has a body like that of the mouse, and wings like a bird, the latter formed by the bones being extended and the skin stretched between them, the ears extremely long; small, sharp-pointed teeth; five claws on the hind feet, somewhat like fingers and a thumb. It is also provided with hooks on its wings. II. Its habits. The bat, when seeking its food, which con. sists of insects and small birds, flies like a bird, but always in the dim twilight. As its eyes are dazzled by glaring light, it remains during the day in old barns or houses, and suspends itself by its hind legs. In winter it falls asleep. III. Acalatation of the organs to the habits and propensities of the bat. The wings and expansion of skin enable it to fly, and thus to get its food. As its prey comes out at night, it has acute feeling to guide it, instead of good sight, which would not have been so useful. It cannot rest on its legs, but is able, by means 26 CRITICISM ILESSONS. of hooks and claws, to suspend itself, with its head downward, and so get rest. Its food fails in winter; it then falls into a sleep, and requires none. IV. Apltication. Lead the children to trace the hand of God in all this. If we see any thing beautifully fitted for some purpose, we conclude it was made for that purpose. God's wisdom, benevolence, and power to be shown in the adaptation of all the parts of the animal to its habits. LESSON TO BE CRITICISED. Teacher. -What animal is this? (Shozvwizg it.) Children. A bat. T. Look at it, and tell me something about it. tWhat do you see peculiar in it? A little girl. I do not know what "peculiar" means. T Can any one tell her? (A pause.) Another child. It means something that you see in one kind of thling, but not in anything else. T. Well, that will do. What, then, do you see peculiar in the bat? Several. It has wings and hands. T. WVhat have you at the end of your own arms? C. Hands. T. And what have you on your hands? C. Fingers. T. How many fingers have you on each hand? All. Four, and a thumb. T. Do you see anything in this bat that looks like four fingers and a thumb? A little girl counted them, and said there were four bones that looked like fingers. T. Can you tell me the difference between these bones and our fingers? A little boy. They have no flesh on them, and they are very T. What other difference do you see? 27 long. INTRODUCTION. Some of the children said it had a web, others that it had skin between the fingers. T. Where does this skin appear to comre from? C. From the back. T And what does it do? C. It stretches over the fingers. T. What has the bat beside four fingers? C. It has a thumb. T. What does this thumb look like? C. Like a claw. T. But what kind of claw? C. It'looks like a hook. T. (to an active-looking but idle little boy). Now, little boy, I am quite sure you can tell me something about this bat. Boy. It has teeth. T. What kind of teeth has it? Several. Sharp teeth. T. WVhat kind of mouth has it? Two or three children. It looks like a beak. T Would you call this a beak? What creatures have beaks? C. Birds. T. Well, would you call this a bird? C. No; it is a beast. T What kind of ears has it? Some of the children said, They are large. T. Can you tell me anything about the bat's sleeping? A little girl. It sleeps in the day, and flies about in the twi. light. T Where does it sleep? A boy. In a hole. A girl. It hangs on high walls. A boy. It hangs on trees. T Yes; they hang on trees, also on the walls of old.houses, where nobody can live because they are so old; there they sleep all day. Do you know what they hang by? C. By their feet. T. If they hang by their feet, what position are they in? 28 f CRITICISM LESSONS. C. Their heads are downward. T. You have told me where the bat lives, and what it does by day; now tell me what it does when night comes on. C. It goes about. T. How does it go? C. It flies. T WVhy can it not walk? C. Because its legs would not bear it; they are very weak. T Then must it not be a very awkward animal? C. No; because it has wings and a hook instead. T. Now tell me what its body looks like. C. Like a mouse. T. Have you ever seen a mouse like this animal? C. No; it has a skin stretched over its fingers, and a mouse has not; a mouse has four legs. T. And what does this skin stretched over its fingers make? C. Wings. T. By what means does it fly? C. By its wings. T. Why does it fly about? C. To get its food. T. What is its food? C. Insects. T. And anything else? A boy. Worms. T. I don't think it eats worms, but I am not quite sure; however, I know it eats little birds. When does it come out? C. In the twilight. T. What do you mean by twilight? A girl. Night. A boy. Evening; between day and night, when it is not quite dark. T. What time do the insects come out? C. At the same time that the bat comes out. T. When it comes out at the twilight, can it see the insects? C. Yes; because it has very sharp eyes. T No; you have guessed this. Look at its eyes; bats have not sharp eyes; they cannot see their food plainly, because their 29 INTRODUCTION. eyes are very snmal. Then, how is it they can catch their food? Some of the children. They have little nerves. A little boy. The food comes upon its wings. The Head flaster (speaking to the teacher). I do not think the children all understand how the bat catches its food; be so good as to repeat the questions. T. Tell me how it catches its food. A boy. The food comes upon its wings. T I will tell you: when the insect flies upon the wings of the bat, it shuts them up very quickly, and turns its mouth around sharply and catches it. What, then, is one of the uses of tlm wings of the bat? Several. To get its food. T Why does it need its wings to get its food? C. Because there is very little light, and it cannot see plainly. T. And what are the hooks for? C. For the bat to hang on the wall. T There is something else about the bat that you do not know, I thinlk. Shall I tell you? It goes to sleep all the winter. Why should it sleep all the winter? C. Because no insects come out. T. Wrhat would become of it if there were no insects? C. It would starve. T. Now tell me again, what is the use of the wings to the bat? C. To fly with, and to catch its food. The teacher repeated all the questions on this point. To the question, why the bat could not find its prey without its wings, a little girl replied, "Because its eyes is dull "-a fault in grammar which the teacher required-the children to correct. T. WVhat is the use of its claws? C. To hang on the walls. T. When does it hang on the walls? C. In the day. T If this large body (pointing to the body of the bat) were to walk on the ground, what would become of its delicate legs? so CRITICISM LESSONS. C. They would break. T. And what would happen to the wings? A little girl. They would break too. T. Is "break" the word to use? A boy. They would be torn. T Now attend to what I am going to ask you, and speak quietly: Who gave the bat these wings? The children replied in a low tone of voice, "God." T. What did he give the bat wings for? C. To fly in the air. T. And when you see this bat has wings, what are you sure it was made for? C. To fly in the air. T. If it looked like a mouse, and if it had not these wings, what would you think it was made for? C. To walk like a mouse. T. And suppose it had not these wings, what sort of eyes would it most likely have? C. Sharp eyes. T. When we see that God has given the bat these wings, what are we quite sure hlie has made it for? C. To fly in the air. T. What does this show you of God? C. It shows us his power and wisdom. T. Wisdom in what? C. In giving the bat wings to fly. T. How does that show his wisdom? C. (after a pause). Because it would starve if it had not wings. C. T C. T C. And what else does it show beside his wisdom? (after anoth7er pause). His goodness. His goodness in what? In giving the bat these wings to fly in the air. But why does that show his goodness? Because it would not be able to get its food without them. T. Then there is another thing that shows God's goodness; 31 INTRODUCTION. what is it? (IVo answer.) What did I tell you it does in the winter? C. It sleeps. T Well, how does that show God's goodness? C. Because, when there are no insects, it does not require any food. T. Can you give me a text which speaks of God's goodness to all the things which he has made? After a short pause, a little girl said, " 0 Lord, how manifold are thy works! in wisdom hast thiou made them all: the earth is full of thy riches." T Now, can you give me another short one? (No answer.) Well, I will repeat it: "The Lord is good to all; and his tender mercies are over all his works." Now repeat it after me. The children did so three or four times. The lesson then closed, and the children marched out of the room singing. THE CRITICISM. OF THE TEACHERS IN TRAINING ON THE PRE CEDING LESSON. Head Chaster (addressing tale teachers). You have now to exercise your judgment on the matter of this lesson, and on the manner in which it was given. Before you can give a correct opinion on a lesson, with what science ought you to be, in some degree, acquainted? A Teacher. With the science of education. H. HL And what are the subjects which this science acts upon? T Children. I. JA. What, then, should you know? T Something of the nature of children, and of the best method of working upon them so as to develop their faculties and form their characters. H. M. Recollect that the object of your "criticism lessons" is not to sit in judgment upon a companion-you have nothing to do with the person; you are only so to appreciate the right and the wrong of the lesson that you may be led to imitate the one, and to avoid the other-that thus both you and the teacher whose les 32 CRrICISM LESSONS. son you are to consider, may learn to profit by our joint criticism Can you tell me what ought mainly to guide a teacher in such a lesson as this —what main objects, or points, she should keep be. fore her in a lesson on natural history? T. The adaptation of the parts of an animal to its habits. H. M. Be a little more general: what should be her main design? T. To communicate information. H. M. Would you make it the main object of such a lesson to communicate information? Another T. Certainly not. H. kI. What, then, would be your object-what effect would you propose to produce on the children? T. I would call forth their observation-I would require them to notice all the parts of the animal, and to examine them very minutely. H. Lf. Now, suppose that repeated from day to day, what do you think would be cultivated? T. Habits of observation. H. M. And with young children, this is one main purpose of these lessons. The communication of information is a secondary one. Our first object is to discipline their minds, and prepare them to acquire knowledge. When you merely communicate in formation, the mind of the child is in a passive state, which is the very opposite of that in which it ought to be. No doubt, the love and the pursuit of truth are among the ultimate objects of educa tion: but during the training of your children, you are only pre paring them for these objects. As the children looked& at and saw the nice and curious claw of the bat, the strangely formed' wing without any feathers, the body like that of a mouse, the feet not made for walking, and were told of the fine sense of feeling given to it, did it occur to you that they did more than obtain informa tion? T. Curiosity was excited; and the tendency of this curiosity is to create an interest in all the objects by which they are sur rounded. H.'~. Then, as it regards information, do you see anything O-W 33 INTRODUCTION. in connection with the lesson that would, if it did not give them information, tend to the same result? T The children would be led to get it themselves their curi osity having been excited. -. I. Yes; we should not value a lesson so much for the in formation it gives, as for its tendency to cultivate in our children power and inclination to acquire information for themselves. We should endeavor to open to them the extensive volume of nature, and so to improve their faculties, that they may themselves inves tigate it. T. You cannot call upon a child to observe anything, with out, in some way, giving him information. H. M. True. But do you not see the difference between giv ing information, and making him observe and examine a thing for himself? T. Not clearly. EL. 3f. In the one you direct the chiild's own efforts-you cul. tivate a power in the child which must always be useful; in the other you merely pour in information, which may or may not be remembered. But it is not on the mind only that we produce effects. Do you know what is our further design in a lesson in natural history? T. To teach the heart; to administer, it may be moral, and even spiritual good, to the children. H. M. How is this done? T. By showing them the goodness of God in his works: this leads them to cultivate humane feelings, and to be kind to animals. H. M. Yes. And though the teacher said nothing about humane feelings, yet when the children were led to see how wise and gracious God has been in adapting the parts of the animal to its uses, they must have felt interested in the animal, and be less disposed to treat it unkindly, and have been taught also to admire the wisdom and power of God. I will now read the sketch of the lesson.-The Head Master having read the sketch, continued: Now you are in possession of the general object contemplated inll such a lesson as this; and you have also the teacher's written sketch, stating her special object and the manner of working it 34 CRITICISM LESSONS. out; you are, therefore, prepared to determine how far thle teacher accomplished her purpose. The Head Master then directed the teachers to turn to page 50 of "Useful Hints to Teachers,"* and to make use of the points that are there given, confining their attention to one of the three general divisions. First Teacher. I think the sketch is clearly arranged. The matter was well selected, and not too much for such children. There also appeared to me some attention paid to each part of the lesson, the animal itself being the chief thing in such a lesson. There was, however, a want of clearness-each point was not, as it were, settled as the teacher went on. I think a summary was not necessary; there was repetition, which supplied the place of a summary. The children were led to see the wisdom and goodness of God in so admirably adapting the structure of the animal to its habits. Second Teacher. I think the teacher seemed to have command over the children. Order and attention were preserved, in part by the power of the teacher, but especially by the interest of the lesson. I do not, however, think that the interest in general was altogether so well kept up as it might have been, though many of the children seemed attentive. They saw very clearly how God had provided the animal with means adapted to the catching of its food, and with an instinct which enables it, when there is no food, to dispense with it altogether. Third Teacher. I think the teacher's manner was kind. She did not, however, speak with sufficient firmness to the children. I thought her tone of voice was very good. She paid great atten tion to the pronunciation of the children, and corrected them in grammar. I thought the children might have been made to repeat with advantage some parts which they did not. H..lf. Do you suggest repetition as a means of keeping up the general attention? T. Yes; and also of fixing the ideas gained on their minds. The questions were in general good; but she did not always work out what the first question of a series seemed to aim at. * One of the London Society's publications. ;55 INTRODUCTION. H..f. When do you consider a question good? T When the children, by means of it, are led to think. H. 3. That is certainly one good feature of a question-in. deed, an essential one; but your answer is general. T. It should be a question which leads them to observe, compare, or draw a right conclusion, as the case may be. There was one point in the questioning which struck me as bad; she asked, how the bat caught its prey, and then did not wait for an answer, but went on. H. Mf. Yes; this arises sometimes from want of patience, sometimes from not holding the idea to be developed with tenacity; it often defeats all the ends of questioning, and causes confusion in the gallery. A question may be good or bad, as it is, or is not, followed by another. Would you consider the question, "Do you know how the bat obtains its prey?" a good one? T. Such a question would only bring out Yes or No. H. 3~. It is therefore bad. Such a question is of no use, ex. cept to ascertain what extent of knowledge the children have; and it leads to a habit of guessing. T. I did not observe that any of the incidental circumstances of the lesson were noticed. H. JI. What do you mean by incidental circumstances? T The state of the children. H. -I. Do you call their mere state, as being quiet or noisy, attentive or inattentive, an incidental circumstance? (A pause.) What does any one understand by an incidental circumstance? A Teacher. Anything happening in the course of the lesson that the teacher did not expect, and that did not properly belong to is. Such incidents may often be used to give interest to a lesson, Third Teacher (in continuation). I think she was right in correcting the children in grammar. The words she made use of were sufficiently plain and simple. But she did not make them hold out their hands before speaking, as much as they ought to have done. Hl. M. What is the use of making children hold out their hands? 36. CRITICISM LESSONS. T. To prevent disorder. But she allowed them to speak without waiting till she had pointed to them. II. 3f. The main use of this practice is, to ascertain what children are really at work, and to prevent the forward from answering all the questions; to secure, in short, attention and thought from as many children as practicable. Fifth Teacher. The sketch of the lesson was not worked out in that part that spoke of the wings. I do not think the children understood how the sense of touch in the wings of the bat helped the animal to obtain its food. She appeared to confound the sense of touch with the fact of the closing of the wings; I thought she seemed rather confused about it herself. Might she not have said a little more about the eye of the bat? II. M. Will the next teacher make her observations without referring specially to the points already noticed, but keeping in view the general objects to which I called attention before we began to make our remarks? Sixth Teacher. I think that what the teacher proposed to do in the first stage of the lesson was well calculated to cultivate ob servation, and to excite the interest and curiosity of the children. She might, perhaps, have better prepared them to admire God's wisdom and goodness, by first showing them that the generality of animals with wings are birds, but that the present one was a singular case. She might have led them to see that although the animal had wings, yet that it had not another essential part of the bird, viz., a beak; that while it had wings, it had a mouth with teeth, which birds have not. And then she might have led them to see that it was most like a mammal; for although it had wings, which were the only things that it had in common with birds, yet that those wings had no feathers, and that although it appeared to be a bird, yet that in reality it had not the same parts as the bird. Then she could have shown them how adapted its parts were fox procuring its food, inasmuch as it lived on insects in the air; and being a mammal, and its food being in the air, if it had no wings it could not have procured its food, and would, therefore, have starved. I have no doubt it might have brought the children to a stand, to determine whether it was a bird or a mammal; if she 37 INTRODUCTION. had shown them it had wings, they would have immediately said it was a bird; but when she drew their attention to the mouth, teeth, and body, they would have seen that it was not a bird, but that it had the appearance of a mouse; this, however, might have led to a profitable warning against hasty judgments; it might have enabled her also to lead them to see more clearly the goodness of God in supplying this creature with wings. I think the teacher was extremely kind; and able to give the children information. Seventh Teacher. The main points of the lesson, good and bad, have been already touched upon. I thought the first part of the lesson was, upon the whole, very well given, with the excep, tion of that spoken of by the last teacher with regard to the dif. ference between the mammal and the bird. In the habits of the bat, and the adaptation of its parts to these habits, there was a little confusion; but there was one good proof that the children sympathized with the teacher; that is, the interest increased as she went on, and when the lesson was finished, the interest seemed to be greater than at any other period. She might sometimes have exercised their minds a little more when they gave her an opportunity, as in correcting wrong answers, and making the younger ones answer more frequently. Also, about the old walls, I think she might have got that out of the children without telling them. With respect to the bat getting its food, she told them something which I think she might have drawn from them without telling them. I think the sketch is very well written, and very clear, and, had she adhered to it, she would have given, in my judgment, an excellent lesson. H. M. In the remarks of the teachers generally, I quite concur. On the latter part of the lesson particularly, they are very good. The first part of the lesson (that which required the children to observe) was worked out the best. Are we to suppose that the teacher had then most time on her hands, or that she excels more in cultivating the observing faculties of her children than the reflective? This is a feature I often remark among the teachers in training. The teacher started well with the second head, the animal's 38 CRITICISM LESSONS. habits; but she did not keep the chi'Ircn so close to them as she might have done. When any idea has been worked out, the children should always be made to express it clearly. The teacher several times failed in this; as when she led the children to observe the wings and the hooks. It was rather by a ki-ind of false reasoning, or taking something for granted, than by observation, that the animal was discovered to have a mouth instead of a beak. In the third part of the lesson, although she failed a little in holding firmly her own ideas, and in leading the children to see clearly the adaptation of the organs, yet it was fairly done. It is mucl to her credit, that, whilst she lost herself several times during the lesson, she rallied; a circumstance which always proves to me that the teacher has made progress in her training. She had her point before her, but stumbled in attaining it. You gave the sketch credit for being full and clear; but did it not evince thought and ingenuity in its arrangement? There was a nice choice of parts and habits, which told well in leading the children to perceive adaptation. I hardly agree with one of you about omitting the summing up. Although there was a great deal of repetition, I do not think that repetition ought to have supplied the place of a summary; it does not answer the same purpose. Neither do I think that in such a lesson a summary is unnecessary. Whenever you want to make an impression on the hearts of the children, you should endeavor to bring before them, in a connected form, those features or ideas of the lesson by which you expect to produce such an effect. The fourth head was to lead the children to see and feel the wisdom, power, and goodness of God. Now, to accomplish this, a summary of the points of adaptation ought to have been made and repeated by the children; such as, The body is that of an animal, but its food is in the air; therefore, to procure this food, God has given it wings. It comes out in the dusk, when its prey is abroad, and it catches it while flying; therefore God has pro vided it with a sense of touch so exquisite, as to be equal to sight, and also with a large mouth. These points and others, brought into one or two sentences, should have been repeated before mak 39 INTRODUCTION. ing the application. It has often been remarked to you, that whilst the true catechetical method of teaching is admirable, yet one effect of giving lessons by questions is, that of separating it into parts or fragments, and consequently the children cannot see the matter of the lesson as a whole, or the harmony and dependence of its parts. The summary ought amply to make up for this, and after a minute and accurate examination of the parts, to present the subject as a whole. There was a little of the same want of power in the application that I remarked under the third head; but it must be admitted that this is the most difficult part of a lesson. It requires sound judgment, very considerable clearness, and no small degree of practice. A teacher may consider herself well advanced in training when she is able to do it clearly. I like the remarks of one of the teachers on the order and attention of the children. I do not know that she required to show very much power of command, because the children were particularly steady and willing to work. The interest of several was very satisfactory, but it was not general. Such questions as, "What time do the insects come out?" "Can the bat see the insects?" are bad, because they lead the children to guess; they imply knowledge which the children have not. With the exceptions stated, the great principle of not telling young children what they can discover by the exercise of their own faculties, was carried out; also the important one of keeping the children intellectually active during the lesson. Finally, a religious turn was given to the lesson, without any apparently forced feeling on the part of either the teacher or children. V.-Reports of Model Lessons. Simultaneously with the Criticism Lessons, it is of equal importance that the class should see a sufficient number of Model Lessons, i. e., lessons given by teachers thoroughly trained, with the view of exemplifying the treatment of a given subject. The class should learn to draw up reports (abstracts) of these lessons while hearing thenm, or directly afterward, taking special notice of 40 REPORTS OF MODEL LESSONS. 1. The ideas the teacher draws from the children. 2. The plan she adopts in order to draw out these ideas. EXAMPLE.-Report of Jfodel Lesson on the Seal. MATTER. I. —Habits, etc. 1. The seal lives in water and on land. It is found in cold countries. 2. The seal feeds on water foNvl and fish. I. -1. Drawn from the children, who were led to form the sentence, which was written on the board. 2. Drawn from the children by asking them what food the seal would be likely to find in or near the water, and such framed into a sentence, and W. B. 3. Drawn from the children by questioning on an anecdote told them. Terms loving and intelligent given. (S. R.) Sentence famed. (W. B.) 4. Drawn as an inference from anecdote told. Little girl gave term acute. (W. B.) II.-Adaptation of structure to habits. 1. The body of the seal should be light, slender, tapering, and flexible. 1. Drawn from the children by reference to the animal's food, fish; how these move rapidly, suddenly; how the seal must move rapidly also to catch them. What kind of body he must have to enable him to move and turn quickly. Teacher required the children to represent on the board such a shaped body as seal ought to have. 2. The necessity for breadth drawn out by reference to different things made to go in the water, as oars of a boat, fins of a fish, &c. Why the seal cannot have fins, drawn out by reference to his double habitation (land and water). Advantage of shortness drawn out by asking why the limbs of a dog would not suit the seal they would be too narrow as well as too long. i I 41 METHOD. 3. The seal is lovin- and intelligent. 0 4. The hearing the sell is acute. of II. 2. The limbs of the .,eal should be short and broad. INTRODUCTION. 3. Brought out by reference to a rud der. 3. The tail seal should be and flexible. 4. The seal have sharp, teeth. 5. Tile seal, have lungs. should 4. Brought out by reference to the strong character of its food. 5. Brought out by reference to its coming to land, and its swimming with its head above the surface. 6. Brought out by exercising the reason in discovering what kind of covering an animal thus situated needs. Children at first said scales. Teacher told them these would not be warm enough, but desired them to judge how it was that scales would suit the fish and not the seal. Others supposed that because the seal sometimes came out of the water; others, because the fish lived in warm countries. By referring to the sensation of feeling,or touching a fish, led them to see that the fish had cold blood. Teacher told them that the seal had warm blood, and therefore needed warm covering. By reference to the covering of a dog, sheep, and the effect of water, etc., on this, children decided what sort of covering an animal needs which is always swimming, or climbing rocks. Each point, as drawn from the children, framed into a sentence, and put on the board. Summary read from the board. VI.-Miscellaneous Exercises in Method. FIRST EXAM.PLE.-Exercise on the Fable, " Tle Lark and her Young Ones." (See "Jilfo)al Instruction," last lesson of Second Step.) Directions for Students. I.-State the Point. II.-Find the Introduction. 42 6. The seal leave a warm ino. 0 should cover 7. The seal has short, thick, -,mooth fur. MISCELLANEOUS EXERCISES IN METIIOD. III.-Find the Points on which the Conceptive Faculties should be exercised. IV.-Find the Poirts on which the Reasoning Faculties should be exercised. V.-AVhere the application should be made. Students' Answers. I. Point.-To teach the advantage of self-reliance. II. Introduction.-To see that the children have an idea of a lark-kind of bird as to size, color, mode of life-before telling the story. III. Points on which the Conceptive Faculties are exercised.The corn field-appearance of the ripe corn-the hidden nest, with mother bird and young ones-the anxiety of the farmerconversation in the field-should be, as it were, dramatically rendered. IV. Points on which to exercise the ]Reasoning Faculties.Why the lark builds her low nest amongst the corn. What danger she avoids. What danger she incurs. What the young birds would infer from the first and second conversations. What the old bird. What the young birds would infer from the third conversation. What the old bird. VWhat she would do. V. Application.-To be made after the narration of each conversation. SECOND EXAMPLE.- Exercise on Sketch on the Tortoise. (See "Lessons on Animals," "Miscellaneous Sketches," page 348.) Students examine sketch, and state: I.-What is told, and why. II. —What must be developed. III.-Where the Observation is exercised. IV.-Where the Reasoning Faculty. V.-Where the Conceptive Faculty. Students' work should stand substantially as follows: I.-1. What is told.-The tortoise lives either on land or in water It moves slowly on thle ground, but swims beautifully. 43 INTRODUCTION. It comes on land to deposit its eggs, of which it lays a great num ber-scrapes a hole in the ground, and leaves them to be hatched by the heat of the sun. 1. WVhy.-Because the children have no opportunity of ohb serving. 2. WVhat is told.-Thle eggs of birds become hard, those of reptiles soft, by boiling. 2. Wlhy.-Because it would be inconvenient to try the ex periment. 3. The tortoise is covered by a thick, hard, strong shell; the tail has a scaly covering of its own. 3. Because a picture is used instead of a specimen. If a specimen shell can be procured, this would not be told. II.-What must be developed.-All that can be discovered by the observation or the reasoning faculty. III.-Where the Observation is exercised.-The tortoise has a small head like that of a serpent, four legs, and a tail. The shell that covers the back has thirteen large pieces in the middle, and twenty-three smaller pieces round the margin. The head and legs are without armor. IV.-NVhere the Reasoning Faculty is exercised. 1. Eggs of reptiles become soft by boiling. The eggs of the tortoise become soft by boiling, therefore we infer that the tortoise is a reptile. 2. Provision is made for the safety of the young of all classes of animals. The tortoise is one of a class of animals, therefore provision is made for the safety of its young (while in the egg). 3. Animals that can fight possess weapons of attack. The tortoise has no weapons of attack, therefore the tortoise cannot fight. 4. All creatures with thick horny coverings are reptiles. The crocodile has a thick horny covering, therefore the crocodile is a reptile. V.-Where the Conceptive Faculty is exercised.-The tortoise on a bright summer day. The tortoise scraping away the sand to lay its eggs. 44 COLOR. INTRODUCTORY REMARKS. - IN the First Step, the Perceptive Faculties of the children are exercised in distinguishing various Colors. The memory is exercised in learning the names of these Colors; and in the last part of this Step, the Conceptive Faculty is in a small degree exercised, by recalling absent objects of a certain color, which is held before them. Order and taste are also cultivated in arranging them in patterns. In the Second Step, the Conceptive Faculty is still further exercised, as in the First Step, and also a more minute perception in distinguishing and naming the Tints, Shades, and Hues of the different Colors, and learning how they are produced. More difficult patterns are also formed and reproduced by the children from memory. In the Third Step, the Reasoning Faculty is exercised on the relat'on and production of different Colors, and the children are exercised somewhat on the harmony of Colors. For teachers who desire to gaini more knowledge of the subject of Color than is here presented, we would recommend a little work entitled, " Color Considered," or "RPedgrave's Manual of Color," or, if a more extensive work is desired, that of Chevreul is perhaps the best. COLOR.-FIRST STEP. FIRST STEP. Distinguishing Prominent Colors. I. SketchI of a Lesson n Distinguishing Blue and Yellow. 1. Blute. —Having selected all the blue and yellow blocks from Scofield's box of colors, the teacher places them promiscu. ously upon the table. Pointing to the blue pattern on the diagram of color, she calls upon a pupil to find a block of the same color and place it beside the pattern on the diagram. The pupils in their seats decide, after close examination, whether the pattern is well matched. If not, call upon another to try it. If the child is "color blind," he may, without knowing the difference, select an orange block to match the blue pattern! 2. Yellow.-The teacher selects a yellow pattern on the diagram. She calls upon a child to select from all the yellow and blue blocks, now laid on the table, one like it. If color blind, he will as soon match a yellow wvith a blue, as with a yellow. Let the other children decide, as before. 3. The teacher selects a blue block, and asks a child to find a color like it on the card. Compare them as before. 4. Now select a yellow block, and proceed as with the blue. II.-I1. ExERCISES.-Select two yellow and two blue blocks; place them upon a sheet of white paper before the class, in this Yellow. manner: Blue. Blue. Let a child place other blue and yel YelIow. low blocks on the paper in corresponding positions. 2. Place wafers thus: Yellow. Blue. A child to imi Blue. Yellow. tate as before. While a child is employed in this way, let the paper be placed upon a frame in front of the school, that all may see the work and judge of its correctness, and, by raised hands, indicate when it is wrong, that another may take his place. 46 COLOR.-FIRST STEP. 3. Let the teacher thread five large colored beads before the class, thus: Blue, yellow, blue, yellow, blue. A child to imitate as before. Blocks may be arranged in the order described, where beads are not convenient. The members of the Training Class should draw out sketches of lessons on Red and Green, or on Violet and Orange, inventing exercises for each sketch. REMI.PK.-With young children who have just entered school, these exercises in distinguishing colors may be continued with advantage until they can select correctly, and with rapidity, all the colors on card No. 1. The point is not here to teach the namnes of the colors, but if a child calls the color by its right name, very well; if by the wrong name, the right name may be given him. III. Lesson o? Naminy Colors. 1. The teacher selects from Scofield's box of colors, blocks of blue, yellow, red, green, orange, violet, brown, and gray, together with black and white, and places them promiscuously upon the table. Placing the diagram before them, point to a red pattern on the card, and say, This is red; or ask those who know the name of the color to hold up the right hand. Call upon a child to find a block like it. The child says: "This is red." Showing it to the children, they repeat together: "This is red." Previous to giving this lesson, the teacher should place objects, as nearly resembling these colors as possible, about the room. She now calls upon one and another to find something in the room that is red. 2 and 3. Proceed in the same manner with the exercises on yellow and blue. 4. Point rapidly to the red, yellow, and blue patterns upon the card, requesting the children to give their names as pointed to. 5. Bid a child place a yellow block on the table, a blue one on the desk, and a red one on a chair. 6. Call upon one child to place the yellow block where the blue one is, and the blue one where the yellow one is; another to change the places of the yellow and red, and the red and blue, &c. 7e Select three children one to find something that is red, 47 COLOR.-FIRST STEP. another, something blue, the third, something yellow, among the colored objects in the room. 8. Tell the children to bring to school, for the mrorrow's lesson, something that is red, something that is yellow, and something that is blue, as bits of cloth, glass, paper, leather, or anything of these colors. REVAPIK-.-Although blocks of more than three colors are presented to the children, the names of three will be sufficient for the first lesson; and several days may be spent on these before passing on to the names of other colors. IV. Plain of a Lesson following the Last. 1. The children, on entering the school room, place the col ored objects, which they were told to bring in, upon the table. Call upon one child to place all the red objects upon one corner of the table; a second, to place the yellow objects in another place; and a third, the blue objects upon another corner. The teacher now holds each object before the children, who say what color it is. The objects may be of different shades, as light red, dark red, &C. As they note the differences, the general terms, light and clark, may be given to the different shades. 2. Let the teacher, unseen by the class, conceal a red object among the yellow ones, a blue among the reds, or a yellow among the blue ones. Take up each yellow object rapidly and hold it up before the children, who repeat together the name of the color. Practise them in the same manner with the other colors until they can distinguish each color readily and correctly. Exercise them with the blocks in the same manner. The members of thie class in training may draw out sketches according to the "Lesson in Naming Colors," distinguishing and naming orange, green, and violet. OBsEnvAxTION.-After the children have learned the names of the colors on card No. 1, exercises like the following may be given them, which will familiarize them with the names, as well as teach them tQ distinguish them rapidly. 48 COLOR.-FiRST STEP. V. Placn of a Lesson in i)istingyishinig cand Araming Colors. Plane Card No. V. before the children where all can see it. Distribute all the blocks among the children, giving one block, or more, to each child. Point to a color on the card. Let the child who holds the block corresponding to the one indicated bring it forward, and place it by the pattern. Tell the name and let al the children repeat simultaneously if it be correct. Or, if the teacher can furnish duplicate colors, distribute them promiscuously among the class; then point out a color, and let the two children who possess the same color bring it forNard. The desire of knowing who have like colors makes the exercise more pleasing. To vary the exercises, let one then another of the pupils point out the colors on the card, thus keeping more of them actively employed. RE.MARKI.-In lessons on color, flowers should often be brought before the class, as furnishing an endless variety of hues, tints, and shades, of a purity next to that of the rainbow. They must be taught that the same colors in different substances will have only a general resemblance. Who can paint the ruby, the emerald, the topaz, or the rainbow? Dyes are more perfect, being chemical, than mechanical mixtures. Yet dyes of the same color in silk, worsted, cotton, and lin-en, are very different in brillialncy and purity: still the color may be recognized. VI. Plate of a Lessor with Flowers. 1. Select a flower having as many distinct colors as possible. Give one to each of the children, if so many can be obtained. Tell them to look at the flower, separate the parts, and see how many different colors they can find. To the child who finds the greatest number of colors, and names them, award the privilege of taking from the box of colors the blocks to match the colors found and named. Let all the children find in their flowers the colors named, and name them simultaneously; or, 3 49 COLOPR.-FIRST STEP. 2. A bouquet of flowers may be shown to the children. Let latah one name a color which he sees, and find a block of the color corresponding with it. As they find colors in the flowers to which there is no counterpart among the blocks, and for which they have learned no names, they may be told that God, who has made all things so beautiful, has made ten thousand hues, tints, and shades of exquisite beauty, for which we are unable to find names. The following lessons are designed to impress upon the minds of the children clear conceptions of the leading colors, by teaching them to observe and remember the appearances of various objects about them. VII. Plan of a Lesson on the Color Blue. 1. To make sure that the children have a clear idea of the color, let the youngest child select all the blocks from the box that are blue, lwhile the rest are employed in finding any objects of a blue color in the room. 2. Lead the children to compare these blues with their recollection of the color of absent objects-with the heavens above us. Is the sky always blue? &e. (S. R.) "The sky is sometimes blue." 3. Let the children name some flowvers that are blue; bluebells, larkspur, forget-me-not, spiderwort, &c. Where these flourish; whether in meadows, fields, in the gardens, or by the roadside. "Some flowers are blue." (S. R.) 4. Let the children name fruits that are blue; as the blueberry and plum. Whether these are the same blue as the patterns. They are rather blue. "Things rather blue are said to be bluish." (S. R.) 5. Let the children name some bird that is blue, or has any part blue; as the peacock, bluebird, kingfisher, duck, jay. "Some birds are blue." (S. R.) 6. Let them give the names of some insects that are blue, or 50 COLOR.-FIRST STEP. have any part blue; as some beetles, the dragon-fly, house-fly. "Some insects are blue." (S. R.) 7. Any other natural objects that are blue or bluish, as stone, steel, indigo. 8. Children name from memory things that have life and are blue or bluish, and things natural, not having life, that are blue or bluish. VIII. Lesso?, on the Color Yellow. 1. Introduce this lesson in the same manner as that on blue. 2. Lead the children to name any natural objects of a yellow color or yellowish. WVrite all the objects named on the board, and help the children to classify them; as (a) What birds with any part yellow? as canaries, yel low-birds, larks. (b) AV hat insects are in part yellow? Some butterflies, caterpillars, wasps, and some worms. (c) AYhat flowers contain yellow? Buttercups, daisies, coreopsis, sunflowers, some dahlias, &c. What part of each is yellow? WNVhen are leaves yellow? (d) WVhat fruits are yellow? Lemons, some gooseberries, some plums, apricots, and apples. Are these yellow as the pattern is vellow? They are yellowish. (S. R.) (e) Other natural objects; as sulphur, gold, brass, straw, ochre, butter, yelk of eggs, and sometimes the sky. 3. Sumnzmary.-Children say what animals, vegetables, and wbat other objects are wholly or in part yellow. PE,.MARK.-Each of the colors, red, yellow, blue, violet, green, orange, brown, and gray, representative types of the family to which they belong, may be treated in the same manner; varying the exercises to keep utip the interest of the children. Members of the class in training may draw out sketches on red, violet, green, orange, &c. 51 COLOr.-FIIST STEP. PATTEPXIY, G. This is an exercise of rauchl importance, and should be frequentlv introduced at each step. In order to conduct it with success, every school should be provided with a board oi wood, or heavy binders' board, tawo or three feet square, covered upon one side with black velvet. Also, with a set of triangular cards, colored upon one side-as green, red, orange, blue, yellow, violet, olive, citiine, russet, and grayand upon the otlher some kind of cloth having a nap, so that they may not fall from the velvet-covered board, hen placed at such an angle before the chlildren that thley may all see it. It would be desirable to have at least four cards of each color named.'k In lessons of this kind, given in the First Step, children will be required to imitate alone. The teacher should select the colors and form the patterns with reference to cultivatirng the eye to harmonious contrasts. She should avoid mraking patterns of those colors which do not harmonize. As the children advance and invent patterns for themselves, the teacher should select the colors for thlem, until, by constantly seeing harmonious contrasts, they readily and almost instinctively associate the proper colors. _IT(rtzto,iy of Colors, under tlat name, is not to be taughtl in the First Step.. PREarArK.-Of the many beautiLful patterns which may be made by coimbining the proper colors, we would suggest a few. Previouts to appearing before her class, thle teacher is expected to lhave preparedcl herself for the exercise by arranging harmonious colors into suitable patterns. -:: Scfiel's Colored Blocks for invcetive Dirawiig, got out by the p,l). hsoer of thlis work, are just adapted to this purpose. They consist of eight, pieces of each of the colors namned above. They afford endless amusement, cultivate the taste, and stimulate inventive genius. 52 COLOR. 5 1. 1. I1. 2. I 53 .I I 1 i L 2. COLOR. 2. 3. -. 3. Now.-The above combinatipns are made by means of two kinds of triangles, — a which are the result of the bisection of an isosceles rectangu lar triangle (see-the figure). The triangle a b c representing one /, kind, and the triangle a c d the other kind. This idea is beau _____ tifully illustrated by Scofield's Blocks for Inventive Drawing, d e published by/C. Scribner & Co., New York, by which may be produced a pleasing varie'ty of designs, and is even capable of representing objects with a complicated outline. 54" 2.. .., Wl,/;g g COLOR. —SECOND STEP. In the Second Step, the children not only imitate the more difficult patterns as here presented, but the memory may be exercised in this manner: The teacher forms a simple pattern of four blocks of two colors, telling the children to look carefully while she forms the p)attern. She allows them a very short time to look at it after it is finished. She now takes the blocks from the board and calls upon the children to reproduce the pattern. That all the chlildren may be interested in the exercise, let one child place the first block in the right position, another the next, &c., till the pattern is reproduedel; the children in their seats judging whether it is correctly done. In the Tiirdl Step, still more difficult patterns may be formed, either bv the teacher or by the children themselves, the chil({rea reproclducing them from memory. Patterns similar to those marked I may be used in the first step; 2, in the second, and 3, in the thi:d. SECOND STEP. MIinute and accurate perception and power of comparison are cultivated in this Step. The vocabulary of the chlildren is extended by learning the names of the tints and shades of different color,s. A standard color is the type of the given color. The type of blue is a blue that has no mixture of red or yellow. A type of red is a red that has no blue or yellow, &c. IHues are modifications which a color receives by the addition of a very small quantity of another color, but not sufficient to give it a decided color different from the one modified. A shade is the standard mixed with a darker pigment. A tint is the standard mixed with a lighter pigment; or, A shade is a tone earier than the standard, and a tint is a te ll-hter than the standLard. I. Lesson, oa Tints and S[iades of Blue. 1. Having selected a pale blue, an ultramarine, and an indigo, 55 COLOR.-SECOND STEP. from Scofield's color blocks, hold each up separately, and askl what color it is. They will say each is blue. Showv all together, and ask what difference they observe. They will say, some are light and some are dark blue. Call upon a child to find a blue that is neither light nor dark. Ultramarine will be selected. Tell them, as this is neither light nor dark, but the bluest blue wye can find, we will call it the type of blue, or stnd aerd allo. "The bluest blue is called a standard blue." (W. B.) 2. Direct attention to the remaining varieties. Children will say some are darkl and some light. Show how the light and dark blues are made, thus: On a white earthen palette place some ultramarine in pow der, the nearest type of blue to be found; or, if ground, mixed with enough white to be of the same color as the dry powder. On cne side of the blue place some white paint, on the other some black. (Oil tube colors will be found most convenient.) Let the children say what colored paint they see upon the palette. Tell a child to select from the blocks a blue like this upon the palette. The ultramarine block will be the one selected. WNhat iname do we give to this, the bluest of the blues? (Standard Blue.) AWhat blue have we on the palette? "Standard blue." Let the children now observe carefully, while we mix a small portion of the white paint with this standard blue, and note the result. They will see that a lighter blue is made. Now we will mix with the standard a still greater proportion of white. The blue is lighter still. Continue this until three or four blues lighter than the standard are produced. To these give the term, ti,zts of blue. "Blues lighter than the standard are called tighs of bluc.' (WA. B.) Children say how these tints are made. "Tints of blue are made by mixing white with the standard." (W. B.) 3. Take some of the standard blue and mix with it a small portion of black. Let the children observe carefully and note the result. A dark blue is produced. Blackl for practical purposes mav be used to make the shades, though it gives a grayish hue. Several blues may be made darker than the standard. To b,u COLOR.-SECO-ND STEP. these give the term, shades of blue. "Blues darker than the standard are called shades of blue." (W. B.) Children say how these shades were made. "Shades of blue are made by mixing black with the standard." (W. B.) 4. Show how convenient it would be if, instead of calling for thie dCLarkest shade or the tint nearest the standard, we had names for those colors. Wvho would likle to know the names? Tell them that although we have made several tints and several shades upon the palette, we will give names only to the standard, and to one tint andl one shade. (Vve caln get really no true type or standard of blue. Standard blue has no red or yellow in it. This has a sligh,lt tinge of red in it. Yet it is the purest type we can find.) AWhat is standlardcl blue? "Standard blue is the bluest of the blues." This standard we call ultramarine blue; this shade, indigo blue; and this tint we call pale blue. Point out pale blue on color card No. 2. Now point to ultramarine-indigo. Now i,At the teacher point rapidly to each, and let the children give the names. 5. Having covered up all the colors except the tint, standard and shade of blues on card No. 2, by folding white paper over them, call upon the children to find the pale blue, the ultramarine, and the indigo blue; and then find the blocks corresponding to these in color. S t?(Pz'2ry.- Call upon the children to say how the tints and shacles of blue were produced; what we call standard blue; and give the name of the standard, one tint, and one shade. II. Lessoi ol T'ints anzd Schades of.Re(. 1. Having previously concealed the other colors, as well as thle different hues of red upon color card No. 2, ask the children to and the reddest pattern upon the card. Refer' to the previous [esson upon the color blue. Askl what we called the bluest of the i-lues. If the bluest of the blues was standard blue, what may we call this (pointing to standard red), vwhich you say is the reddest of the reds? The standard red. "The reddest of the 3* 57 COLO.-.SE,COND STEP. reds is called standardcl red." (W. B.) Call upon a child to select from the bo)x a block of the standard red. Another child is called upon to find a red lighter than the standard. A third to find still another lig-hter than the standard. By again referring to the lesson on the color blue, we draw from the children the term,tints of red. "Reds lighter than the standard we call tints of red." (W. B.) Draw out the term shades in the same way, after having them pointed out upon the card, and selected from the box.' Rleds darker than the standard are called shadcles of red." (W. B.) 2. The teacher nowv produces a palette, upon which she has put some carmine, white and blaclk paint. By comparing the red upon the palette with the blocks or pattern, the children see that it is a standard red. From their know-ledge of the lesson given on the color blue, they may be able to say what would be the effect of mixing white with the standard in greater or less quantities. The teacher now mixes the paint before tlhem, and the children note the result. "Tints of red are made by mixing white with thle standard red. Shades of red are made by mixing black with the standard." (AY. B.) S. From the several tints and shades made upon the palette, let the children select the one tint and the one shade which cor'responds with the tint and shade upon the card and the blocks which they have selected. Ask how many would like to know the names of this tint, shade, and standard red. The name of the tint is flesh color; the shade, crimson; the standard red, carmine. FEMxi.;P.-Carmine, in dyes, formis a perfect red, but not in oil; it becomes a shade unless warnmedl by vermilion till it resembles the dry pigment, which is the type of red. Snzm;e,ay.-Children name the standard red. Say whly we call it standard red. Give thle name of one tint and one shlade, and the name of the standard red. Tell howy the tints compare v-ithi tihe standard; how the shades compare mith the standard; 58 COLOR.-SECOND STEP. and how the tints differ from the shades. Tell from memory how te,'nts and shades are made. III. Lesson on Tiehts and SLIades of Green. 1. This lesson is treated in the same way as the lesson on the color red; but as the children can now tell readily which the standard is, what we call those greens lighter, and what those darker than thie standard, and how the tints and shades are produced, less time will be required on this than on previous lessons; but more examples may be found, and the older and more careful children may produce, under the direction of the teacher, the tints and shades upon the palette. 2. Names given. Standard, emerald green; lightest tint, pea green; darkest shade, invisible green. 3. The children may be requested to bring in, for the morning's lesson, leaves of trees; or, if not in the season for this, any other objects of a green color, that they may classify them under standard, tints and shades of green. Also select those greens of the same name as those which we have to-dclay shown them. IV. Lesson on Tints and Slades of Violet. 1. This is treated in the same manner as tints and shades of green. (The teacher, in giving lessons upon any color, as green ,and violet, which may be required to be made by the mixing of any two or more colors, should perform this operation previous to bringing the palette before the children. And it should be remembered that those colors are nearest perfect which most resemble the colors of the rainbow. The production of different colors by mixing two or more simple colors, will be noticed in due time.) 2. Name given. Standard, violet; lightest tint, mauve; darkest shade, plum color. Ultramarine and scarlet lake will produce all the varieties of violet. Prussian blue, in smaller proportion, may be used instead of ultramarine, as being less expensive. 59 COLOR.-SECOND STEP. V. REI.mARK.-We omit lessons on tints and shades of yellow and orange, and for this reason: No pigment of black wvhicl can be procured is found sufficiently pure to mix with yellow without producing a green, owing to the tincture of blue which is always found in it. Only in theory, then, can we teach the children that black with yellow prodnuces a shade of yellow; or black with orange, a shade of orange. A shade of yellow is produced by mixing umber or sienna with yellow. A shade of orange may be produced by mixing a darker color with it. 1. After the previous lessons, by simply referring to the colors upon the card, the blocks, &c., children will be able to point out the tint, standard, and shades. Then the names may be given by the teacher. The name of the standard is yellow; the lightest tint, straw color; the darkest shade, indian yellow. Oraci/e.-The name of the standard is orange; lightest tint, cream color; darklest shade, sorrel. PRE,TAPI.-It will be seen that the different families of colors, or, more scientifically, scales of color, run into each other. Thus vermilion is the yellowest red and the reddest orange. Turkois is the bluest green and the greenest blue, &c. This makes classification very difficult, and yet really necessary. The class in training may write out sketches modelled after the lesson on blue, thereby supposing the children never to have had previous lessons in tints and shades; or, after that, on red, taking brown or gray as the subject. NRames of the browns. Standard brown, chlocolate; lilghtest tint, russet; darkest shade, umber. Names of the grays. Standard gray, normal gray; lightest tint, pearl gray; darkest shade, black. (The best ivory or bone black is but a grayish black.) To extend the vocabulary still further, we have but to supply an adjective to the colors given, as russet, purple russet, yellow russet, greenish russet, orange russet, red russet, scarlet russet, brown russet, oak russet, olive russet, &c., all descriptive of the various hues assumed by the foliage of trees in au. tunin. 60 COLOR.-SECOND STEP., VI. Lessoni on Hutes of PRecl. 1. Bring before the children Scofieldcl's box of colors, also several skeins of red worsted, including tints and shlades, as well as scarlet, vermilion (yellow hues), and solferino, magenta, and crimson (blue hues). 2. Let the children select from the box all the reds, and then classify these and the worsteds under the heads of tints and shades, by arranging them in groups. A difficulty will arise with the scarlet, vermilion, magenta, &e. They will not be able to tell to which group they belong. They do not look like tints, nor yet like shades. When compared with the standard red, one appears more like orange, and thie other like purple, yet when we hold them up alone, or especially with a violet or an orange, they appear red. After seeing the children sufficiently interested in knowing under what head to place them, let the teacher produce a palette, on which she has put some carmine, chrome yellow, and ultramarine blue. Rlefer to the manner in which tints or shadcles are made from the standard, by malking the standard lighter or darker. 3. Xow take standard red, carmine, and mix with it a little chrome yellowv, and we have a yellow hue of red. Mlix with the red a little blue, enough to give it a bluish cast. Give the correct terms, yellow hues of red, blue hues of red. Ask how each was produced.' A yellow hue of red is produced by mixing a small portion of yellowe with the standard." (W. B.) "A blue hue of red is produced by mixing a small portion of blue with the standardl." (CW. )13) 4. The children can now classifv the blocks, worsted &c., utnder the heads of tints, shlades, blue hues, and yellow hues of recL They will see that some of the hues are lighter, and some are darker, than the standard. From previous knowledge the children may be led to say, that a i;i t of a standard hue may be produced by mixing white with it, andt a shade of a standard by mixing witli it any color which deep cs it, alnd that color which deepens it is by artists called black. 61 COLOR.-SECOND STEP. 5. Color card \To. 2 is now shown the children, eho select the standard red, tints and shades, blue hues and yellow hues, telling the names of those they know. The teacher may give the names of the hues found upon the card, at the same time telling the children that there are many more hues, but these are sufficient for the present. Name of light blue hue of light red (chemical), Solferino. " " light blue hue of deep red, Crimson. " " light yellow hue of red (chemical), Vermilion. " " dark yellow hue of red, Scarlet. RE.lAn.K.-In the same manner the teacher goes on showing the blue and red hues of yellow, the yellow and red hues of blue, the yellow and blue hues of green, the red and blue hues of purple, the red and yellow hues of orange, the blue and red hues of gray, and the yellow and red hues of brown. The following arrangement is found on color card No. 2. It will be found to give a clear idea of terms often incorrectly used: Family Groups of Colors, embracing Tints, Shades, Standards, and Hues, as arranged on Color Card No. 2. BLUES. Yellow ItI,es. Blue Hues. Flesh Color. Salmon. Solferino. Red (Carmine). Vermilion. Mlagenta. Crimson. Azure. Turkois. Blue (Ultramarine). ilazarine. Prussian Blue. Indigo. ORANGES. Yellow []ves. Blue Hues. Pea Green. Apple Green. Beryl Green. Green (Emerald). Grass (Green. Sea Green. Invisible Green. Red Grees. Fe llow Zues. Cream Color. Buff. Corn Color. OrangC,e. Scarlet. Flame. 62 rlel)s. f Red Hues. Yellow -1-lues. Pale Blue. GREENS. Sorrel. v COLOR.-SECOND STEP. YELLOWS. , ellow I-tlues. Russet. Tan Color. Chocolate. Copper Brown. Umber. BlYl e ICtoet. Sulphur. Canary. VIOLETS. -Red Hues. Blue Hues. Pearl Gray. Ashes of Roses. Neutral Tint. Normal Gray. Ash Gray. Steel Gray. Tyrian Purple. Royal Purple. Plum. The colors in the left-hand column of the reds and greens are yellow hues. Those in the rig,ht-hand column, blue hues. The colors in the left-hand column of blues, oranges, yellows, violets, browns, and grays, are red hues. Those in the right-hand column of the blues, oranges, and browns, are yellow hues. And those in the right-hand column of the yellows, violets, and grays, are blue hues. The colors in the centre of each group are standard; above the centre, tints; below the centre, shades. Or, we may arrange thus: STANDA RDS. Red (Carmine). Green (Emerald). Blue (Ultramarine). Orange. Yellow. Violet. Chocolate. Normal Gray. 63 BROWNS. P,ed Hiies. Straw. Lemon. Yellow. Ind-'an Yellow. Saffron. Red Hiies. Maroon. Mulberry. GIZAYS. -Re(l Ifite8. 31auve. Lilac. V;-olet. Black. TINTS. Flesh Color. Pea Green. Pale Blue. Cream Color. ,latiN,c. Strav; Color. Russet. Pearl Gray. SIIADES. C.rimson. In-visible Greea. - Incli,To. ,Sorrel. Saffron. Plum. Umber. Black. COLOR.-THIIIRD STEP. THIRD STEP. I. Lesso~t on the Pfodtctiot of Secodcdary Colors from Prinzaries.* 1. Let the teacher mark off sixteen squares of equal size, with a lead pencil, upon the palette, before giving this lesson. Cover three of the squares with chrome yellow, five with carmine, and eilght withl ultramarine blue. Show the palette to the children andcl let them nalme the colors. Yes, here we have a standard red, yellow, and blue. - By prinaei, colors we understand the thrce colors of which a ray of light is composed. They are blue, yellow, and red. Any two of the primaries combined make a secondary; and, if the pigments were perfect, would malike a true type as seen in the solar spectrum. The imperfection of pigments forces us to resort to colors made both chemically and mechanically. For examiple, grass green, theoretically, is the type of green, or standard green, but this difftors so much from the green in the spectrum, that we select a chemical color more nealAy resembling the prismatic green, viz., emerald green. But again, practically, emerald green taken as the standard will not produce the ordinary greens in nature. The secondary colors are violet, green, and orange. "Any two of the secondaries or the three primaries combined make a tertiary. The following arrangement will show how these couplings are formed: PRIMIARTES. SECONDARIES. SECONDARIES. TERTIARIES. Yellow + 3Blue = Green. Green + Violet -= Olive. Blue + Ped -- Violet. Violet + Orange = Russet. Red + Yellow -= Orange. Orange + Green = Citrine. Or. you can make the tertiaries immediately fiom the prinaries, thus: 1 part blue, 2 parts yellow, and 1 part red, or ~ part blackl -= Olive. 2 pa-ts redl, i part yellow, 1 part bluce, or - part black = Russet. 1 past blue, 2 parts yellow, and 1 part red -= Citrine. The followving prismatic colors, violet, indigo, blue, green, yellow, orange, and red, are sometimes called primary colors, being the colors most marked iti the rainbow. Violet, however, is but the blending of red and blue rays. Indigo is but a dleeper shade of violet, when a small proportion of the (red bleods with the blue. Green is the blending of thle blue an(ld yellow rays, a,d orange the blenidilng of the red and yellow r,ays. 64 COLOP.-TTHIRD STEP. Nlow call attention to the squares upon the palette. They will see that there are three squares of the yellow, five of the red, and eight of the blue. Therefore we say, we have the colors in these proportions: 8, 3, 5.* 2. Let a child say which of these two colors he will have mixed together. Suppose he says yellow and blue. As the children observe the result they will say a standard green is prodluced. Ask in what proportions the yellow and blue were mixed to make this color. "Three parts yellow and eight parts blue make standard green." (W. B.) Let another child say what other two colors he would like to see mixed. Suppose he should say blue and red. Proceed with these as with the yellow and blue. "Eight parts blue mixed with five parts red produce standard violet." (W. B.) In the same way continue with the remaining colors, red and yellow. "Five parts red mixed with three parts yellowv produce standard orange." (AV. B.) 3. Ask the children what colors were upon the palette at the beginning of the lesson, and now what colors. Tell them that not only the colors green, violet, and orange, but all the colors they behold in nature, could be made from blue, yellow, and red, in different proportions, were the pigments perfect. In getting the true theory of colors we must talk as though they were perfect, and show their imperfection as we proceed in practice. As all colors are made from these three, we call them Primzary Colors. "Blue. yellow, and red, the colors from which all others are made, are called primary colors." (W. B.) The children say what colors were produced by mixing two of the primnaries, or what were the second colors made. * An experiment made by Mr. Scofield makes the proportions here given somewhat doubtful. It is easily tested. Take a cylinder on which the three Cc rs are painted accurately: 8 parts or L blue; 3 parts or-,3 yellow; 5 Il-.rts or -l red. On a contiguous section paint 5 parts or -'- blue, 3:l parts yliiow, 33- parts red; each a normal color. Cause it to revolve in a lathe 1,800 times in a minute. The blended colors approximating nearest to white will be the true proportions. (Pub.) 65 COLOR.-THIRD STEP. Give the term "Seconzdary Colors."' "Green, violet, and orange, produced by mixing the primaYies, are called secondary colors." (W. B.) 4. Again refer to the proportions of the primaries which we used to make the standard secondaries. 3 yellow and 8 blue to make green. 8 blue and 5 red " violet. 3 yellow and 5 red " orange. \Now ask the effect of varying the proportions; as, more yellow and less blue-a yellowish green; of mnore blue and less yellowa bluish green, &c. All greens, but different. So vary the proportion of blue and red, of red and yellow. Substitute now thle signs + and =, the meaning of which the rhildren at this step understand, and we have Yellow + Blue Green. Blue + Red Violet. Red + Yellow Orange. Children repeat these until committed to memory. RlEIMAnK.-As the standard secondaries are produced by the mixture of certain proportions of two primaries, we see that in the tertiaries, which are made by combining two secondaries, the pro portion of these secondaries to each other will be as the sum of the parts of the primaries which form thlem. Thus, the tertiary olive is made by mixing green and violet. The green is made by tho mixture of three parts yellow and eight parts blue; the violet is made by the mixture of five parts red and eight parts blue. The sum of the parts of which the green is composed is eleven the sum of thie parts of which the violet is composed is thirteen olive, then, is composed of thirteen parts of violet and eleven of green. In practice, a little black is required to give the proper shade. Citrine is made by mixing green and orange in the proportion of eight parts orange and eleven of green; russet, by mnixing eight parts of orange with thirteen parts violet: practically, a little black (or sienna) is necessary. It is quite as simple 66 COLOR.-THIRD STEP. a process to produce the tertiaries by the mixture of the three primaries. Tlhus, olive may be made by mixing eight parts blue, six parts yellow, and five parts red, and, in practice, a little black. If this lesson upon the production of tertiaries from secondaries be thought too difficult for children to understand, they may be taught by telling them that we have upon the palette the standard secondaries (with the exception of the standard green, emerald, where grass green must be substituted)-from these we produce the tertiaries, by mixing them before the children, giving the termr Toerioriaes. The result will stand thus upon the board: SECONDARIES. TERTIARIES. Green + Violet =- Olive. Violet + Orange Russet. Orange + Green = Citrine. The class in training draw up a sketch on the production of brown from the three primaries, or ore upon the production of gray from black and white. II. Genieral Lesso~, on Color. 1. Ask the children what they would see if they were to walk out on a pleasant morning and look upward. The sky. Ihow does the sky look? Blue. Of iwhat colors does it appear at different times? VWhat do we sometimes see in the sky? Clouds. What colored clouds? -Vlhat besides clouds? The sun and moon. The color of each at different times? Wvhen does the sun look like a ball of red file? &c. Suppose the sun were to burst forth during a sliower, what would they see in the heavens opposite the sun? A rainbow. What colors would they see in the rainbow? Violet, indigo, blue, green, yellow, orange, and red. Ask them what colors they see in the fields. Green grass, trees with green, red, yellow, or russet leaves; brown or gray stems, branches, and trunks, and flowers of various colors. Let each child name a flower of a dlifferent color, to show that 'Pse are of all colors. 67 COLOR.-THIRD STEP. What living things show the brightest colors? Tigers, leopards, the redbreast, bullfinch, peacock, macaw, kingfisher, butterflies, ladybugs, &c. How much we likle to look upon all these beautiful things! Lead the children to imagine the trees, flowers, and objects in general, all of one hue, as white, drab, or gray. Present a piece of gray or brown glass. Allow the children to look through it. They will see that everything about them appears of the same color. Ask how we should feel if everything that we could see was of some dull leaden hue, and all of one color. iNo pretty colored clouds to be seen-the ground upon which we walk to be of a dull brown; no pebbles of different colors to be admired. Some flowers to be seen blossoming upon brown stems, but the flowers all gray and the leaves all of the same color. The trees all black, gray, or brown, and the children themselves all clothed in black dresses. How such a dismal scene as this would make them feel. Then what colors make us feel gloomy? "Dull colors make us feel gloomy." (W. B.) Now suppose we walk out some pleasant morning, and look at every object about us clothed in the pretty colors which nature hleas given them. See the blue sky, and the brown earth strown with pretty stones of so many different colors, the green trees, and flowers of every imaginable color blossoming about us, and the children all clotlhed in their pretty dresses of different colors. I-ow they feel. What colors, then, make us feel gay and cheerfutl? " Brig,ht colors makle us feel cheerful." (WV. B.) 2. Refer to the blaclkboard. Of what color is it? Make some strokes upon it with a piece of black crayon. Some more strokes with a piece of white crayon. Ask the children which strokes they can see. Why theycan see those last made, but not those which were first made. Draw from them this conclusion: Thlat the marks or strokes first made are not easily distinguished, b-ecause of the same color of the board; while the strokes last ia(ae are easily seen, because of a different color from the board. lVe learn, then, that " Color helps to distinguish objects." (W. B.) 68 COLOR.-TIIIRD STEP. Su2))marn?ay.-Let us now see in how many ways color may benefit us. Read from the board until they can repeat from memory. III. Lesson on Harmony of Color. Previous to this the children are supposed to have had considerable exercise in combining colors which harmonize, and in forming patterns, under the direction of the teacher. We will now give them further exercises in this direction, and lead them to observe what particular colors look well together. Let the colors red, yellow, blue, green, purple, and orange be presented. Call upon a child to select any two that look well together. Suppose he selects the red and green. After the children have decided that the selection is right, lay them aside. Let another child select two others. Suppose he selects purple and yellow. Let these be treated in the same way as the red and green. Continue these exercises until each primary is placed beside its complementary secondary; thus: red and green-yellow and purple-blue and orange. In this exercise let the teacher always accept the selection of the child if it is right, and, if wrong, lead him to see the error by contrasting it with a harmnonious combination. Hold red and green before the children. Ask what they can say about them. They will say they look well together. Give the term harmonize. "Colors that look well together are said to harmonize." (W. B.) Now we will write the names of some of these colors which harmonize. Children dictate from the selections that have been made, and the teacher writes them thus: * ( Red and Green. Colors that harmonize: Yellow and Violet. Blue and Orange. Children read this over. Nowv let us see what colors we have in this first column. (Primaries.) In the second column. (Secondaries.) Now let us see of what the secondaries are made up. 69 COLOR.-TIIIRD STEP. Write from the dictation of the children, so that the matter uplon the board shall stand thus: Colors that a (Red and Green: Green -- Blue + Yellow. Colr t r-Yellow and Violet: Violet = Red + Bltoe. monize (Blue and Orange: Orange -- Yellow + Red. The children read this over several times, until they may, with a very little assistance from the teacher, discover that in each harmony we have the three colors, red, yellow, and blue. Therefore we see that to form a harmonious combination the three primary colors must all come in. The children may now be called upon to select two colors which do not harmonize. Suppose they take blue and red. Ask what color is wanting to make a harmonious combination. Suppose they take blue and violet. Violet = red + blue; so we then have blue, red, and blue, but no yellow. Several days may be spent on lessons like the foregoing. Let them see that each of the secondaries will look better with either of the other secondaries, than with a primary which is not its own complement. Thus, green and orange look better together than green and blue or green and yellow, because, in the one case, we have the three primaries, but too much yellow; while, in the latter cases, the red is wanting. For the benefit of teachers we append the following: Colors harmonize wnich contain the elements of-white, and discord where these elements are wanting. This is clearly seen in the law of complenentary colors on Scofield's Diagram of Colors. Complementary colors are in opposite panels; discordant colors are contiguous, or most nearly so. It will be seen that red harmonizes with green, because on the supposition that a ray of white light contains 8 parts blue, 5 parts red, and 3 parts yellow, it is made up of 16 parts. Green is made up of 3 yellow and 8 blue = 11 parts; 11 parts + 5 parts red make up the complement of 16 parts. So yellow harmonizcs with violet, because violet is made up of 13 parts, 8 of blue and 5 of red; 13 parts + 3 parts yellow = — 16, the complement. But as the primary red beecomes more yellow, the secondary green must contain more of the remaining primary, blue. Thus we see that vermilion, a yellowish red, best harmLonizes with sea green, a bluis7i green. A crimson, a bluish red, with grass green, a yellowish green, &c., &c. 70 COLOR.-THIPRD STEP. The secondary or primary colors harmonize each with its concordant tertiary, because the analysis of each shows that together they contain the elements of white. Thus, orange, which harmonizes with violet and green, harmonizes with olive, composed of violet and green and a small quantity of black. So russet harmonizes with green; citrine with violet. The harmony of the tertiaries with the primaries, upon the same prilicip!e, is this: olive harmonizes with yellow or with red. Citrine harmonizes witl red or with blue. Russet harmonizes with blue or with yellow. The harmonies of the tertiaries with each other are the least striking of all thle harmonies. 71 FORM. INTRODUCTORY REMARKS. THAT "the child sees in nature objects, not lines," is a truth which nobody will attempt to deny. On these objects are seen, on closer examination, some common properties belonging to form and outline. That which strikes the eye most, is the size and shal)e of the object. Its size is dependent on its length, breadth, and thickness, wlhich properties are treated in the chapter on Size. The shape or form of an object is chiefly visible on its sztrfctce, which, tog,ether with its divisions, or faces, will claim most of the child's attention in the First Step. The principal feature of the First Step is, that it makes the children examine and describe forms on the objects themselves; that it avoids technical names and definitions as much as possible, and makes but very few classifications. In the Second Step, beginning with the directions of the straight line, the child is led to perceive andl describe elements of form, that have been abstracted from the objects, and are represented by lines and figures. The Third Step describes and classifies solids. FIRST STEP. Development of Common Properties belonging to Surface. 1. Lesson on the Surface and Faces of isolids. The teacher presents to the class an object-say a square box. Tell me, which is the outside? Which is the inside? Which is FORM.-FIRST STEP. the bottom? Which is the cover, or lid? Where are its sides? We will turn the box over; now, where is the top of the box? Where the bottom? The teacher may then show a regular solid -a cube, for instance, and ask, What do you call this? A block. Show me its top; its sides; its bottom. I will turn the block over: now show me the top; bottom; sides. Tell me if you can see any difference between them? Then what can you say of the parts of the outside? They are alike. We will call the outside, surface, and the parts of the surface, faces. Wthat do we call the outside? What do we call the parts of the outside? How many faces has this block? Let one child point out one of its faces, another a different face, &c., till all are pointed out. ANe will now repeat what we have learned. The outside of an object is called its surfcace. The parts of the surface are called feces. Show me the faces of the box; of this book; of the bookcase; of your slates, &c. The teacher may now show the class another object-say a sphere-and call upon one of the children to come and cover the surface with his hands. How many parts has the surface? Do you know the name of this object? (If the children call it a ball, the name may for the moment be retained.) Here is another object (a cone). Show me its surface. Move your hand over the whole surface. How many parts are there to this surface? ~That do we call these parts? Faces. Let us compare the faces of the objects before us. If I move this block, will it roll? 5Thy not? Right; because its faces are flat. Instead of flat, say ilane. But if I move this object (the sphere), what will it do? Vhy will it roll? Because its surface is round. Teacher places the cone on its base, and asks, Now will this object roll? TWhy not? Teacher places the cone on its side, and moving it, asks, And nowv what can you say it does? It rolls. And why? Nowv repeat, An object may have a plane or a round surface. It may also have plane and round faces. Now show me objects in the room that have a plane surface; others which have a round surface; others which have both plane and round faces. (The cylindrical and conical objects belong to this class.) 4 73 FORM.-FIRST STEP. 2. 0n the Edges and Corners of Solids; the Idea of Straight and Curved developed. The teacher again presents the block, and asks a child to point out two of its faces that meet each other. She bids him further to move his finger along between them. (Presenting the blade of a knife.) Where do the faces of this blade meet? Yes; at the edge. Now let us call the meeting of two faces an edge. What is an edge? Show me the edges of this block. How many are there? Pointing to a corner of a cube. What do you call this? A corner. Where do these edges meet? These edges meet in a corner. How many corners are there in this block? How many edges do you see in this object (a sphere)? How many corners? Howv many edges in this object (a cone)? How many corners? We might in the latter case call that one corner at the top its point. Point out the edges and corners of this table; of this book; of this tumbler, &c. Now move your finger along one of the edges of the block, and now on the edge of this solid (the cone). Did you move exactly in the same way? Who can tell me the difference? Although the children may already have both the idea and names of straight and curved, yet we may seize this opportunity of illustrating one of the most important elements, or rather the element of form, by means of drawing. For this purpose the teacher draws distinctly and correctly a straiyht line and a circular curve on the blackboard, and gives them the names of straight and curved lines. She then asks which of these lines represents an edge of the cube, and which of them the edge of the cone. If any further definition of straight and curved is required, the teacher may show that the straight line never changes its direction, wihile the curved line is continually changing its direction. The vYord "direction" may be illustrated by the teacher, in moving from one point in the room to another. By going directly, or the slortest wvay, from one point to the other, she describes a strajilgt /ine on the contrary, if she gradually turns to the right or left of this line, and then returns to it again, she has been out of thl 74 FORM.-FIRST STEP. straight line; and if her motion was traced on the floor, it would be by a curved line. The teacher must make some other curves on the board, be side the circle and the arc, in order that the idea of curve may become somewhat generalized. She lastly requires the children to name and point out objects, the edges of which describe a straight line; others, of which the edges are curved; others, which have edges both straight and curved. It may be well for the children, as well as the teacher, to know that in copying objects from nature, we draw what is called their outline; this outline is sometimes analogous to the edges of the solid, which form the boundary of our view. But in some solids, as the sphere, the cone, the cylinder, the outline does not always coincide with the edges, but is visible on the rounded surface. 3. 0 An)yles and Enclosed Surfaces. Thev are classified and named according to the number of their sides. The teacher might here ask the children whether they think they could enclose a space with one straight line, or, to render the case more obvious, with one straight stick? Whether thev think it could be done with one curved line? The children may suggest a circle, or an ellipse. The teacher then may continue the exercise by asking whether a space could be surrounded by two straight lines (to be illustrated bv sticks placed in the form of a right angle). On how many sides is this space surrounded? Where is it open? The teacher may make a drawing of this combination, and tell them that this is called an ag,gyle, and that an angle may be more or less open. (Teacher changes the position of the sticks to illustrate this.) QUESTIONXs.-Showv me some angles on the blackboard? Which is the most nearly closed? Which is more open? Which is the most open? Next require the children to find out whether, with three straight lines, a space can be entirely surrounded or shut in, and to show it by arranging sticks on the floor. This done, a triangle is formed, which the teacher copies, and to which she gives the 75 FOPrZr.-FIRST STEP. name, letting the children repeat: A surface which is enclosed by three sides is called a three-sided figure, or triangle. (N. B.-The teacher has to tell them, that in speaking of enclosed surfaces, we use the word side, instead of line.) After this, the children are required to find out how a space can be enclosed by four straight lines, which the teacher copies on the blackboard, representing not only the square, but, if she chooses, the rhomb, rhomboid, trapezoid, trapezium, and oblong, to which the children will easily give the name of four-sided figures. The children may now select these from the box of forms. QUESTION.-AVhat is a four-sided figure? The same plan is continued, so as to include the five, six, seven, and eight-sided figures. An excellent plan, still further to impress these forms upon the senses and the minds of the children, will here be suggested, as being within the scope of every teacher. Let her draw the figures described above on pasteboard; after this, the figures are cut out by means of a penknife, so that the holes, as well as the pieces cut out, may serve as illustrations of these forms. It will be well to draw and cut out several kinds of four-sided figures, since each of them represents forms of frequent occurrence. It is doubtful whether the proper Greek names ought to be given to these quadrilaterals at this step, such as rliomb, trapezoid, &c. '5e should propose to take the children's names, such as windowshaped, boat-shlaped, etc., which will prove to be more practical, especially for purposes of drawing. " Calkin's Chart of Forms" may be used in connection with these exercises, the children pointing out upon the chart the figures corresponding to the forms cut from pasteboard. The figure on the chart named paral'eloyrcmr, is in this treatise called an oblong. We subjoin here the exercises which this plan suggests, in due order: 1. The children take the pieces which the teacher has cut out, one after the other, and find out to what hole they fit. 2. The teacher herself fits those pieces into the holes from which they have been taken, and asks what figure they represent. A5hy? Co-unt the sides, and co'ners, or angles, 76 FORM.-FIRST STEP. 3. She then may tell them to bring her a piece representing a circle, a five-sided figure, a four-sided figure, &c. 4. Finally, she bids them look at the objects in the room, and find out which of them has a triangular surface, or one which is four-sided, circular, five, six-sided, &c. 4. App)lication of the last exercise to Drawing. The bearing of this last exercise to drawing is so obvious, that we shall bring it in as a part of the lesson. The teacher proposes to draw a window, and asks them what kind of lines will represent it? -That kind of figure? (They will probably refer to the oblong.) Then she herself begins to draw, always asking whether the class knowvs what part of the window, what edge, corner, &c., she is drawing. After the drawing is completed, she may call the children out, and, pointing to different parts of the window, bid the children point to the analogous parts of the drawing. N. B.-Although the terms horizontal, vertical, and oblique, have not been developed at this step, the children's meaning will be sufficiently clear in speaking of lines going downward, to the right, left, sloping lines, &c. DRAWING OF A IOUSE. It need not be remarked that drawings of this kind apply mostly to the frontispiece of objects, and do not include vanishing surfaces, which represent thickness. The teacher again may ask what figure they think would represent the front of a house, the door, the windows, &c. kVlhat figure do they think would represent the roof? The children may possibly find that the one they have called "boat-shaped" would Dest represent it; if not, the teacher may first show some wrong figures, till she hits the right one, which will probably receive the approval of the children. 7 FORM. —SECOND STEP. Other objects that might be drawn by the teacher under the direction of the children, are: a box, a door, a secretary, a chest of drawers, a clock, &c. Although the children are not, at this step, supposed to draw themselves, the training they receive in regard to form, &c., will be invaluable. The real starting point for children to draw, is by means of the i?zventive drawing. SECOND STEP. 1. Dieections of the Straizht line. For the sake of the recapitulation of one of the previous exercises, the teacher may draw a curved line on the blackboard, and ask lwhat klind of a line it is. WVhy do you call it a curved line? Sh-e then may draw a vertical, horizontal, and oblique line, and ask to what kind of lines they belong. They are straight lines. Bult can you see any difference in the direction of the lines? The children undoubtedly see some difference, although they may not be able to state it clearly. In order to develop this subject in a visible and tangible manner, the teacher may place a stick or pointer vertically against the wvall or the blackboard, and ask, AVWhat do youl see? Hiow is the pointer situated? It stands against the wall. And now (lettiig the stick fall to the ground )? It lies on the floor. And now (lec(tnin, it toctward the wacll, inclining -it to the right)? It leans against the wall. The teacher then calls upon one of the class to come forward, and draw, by means of a line, the stick as it looks when standing. Another child is called to draw the stick as it appears when lying on the floor; and a third to represent the stick leaning against the wall. Is this drawing exactly right? Some say, The stick in clines more than the drawing indicates. To which side does tilIe stick incline? Yes; to the right. And now? To the left. Let some of the children come forward, and draw it as it appears now. After the several lines representing the stick in a standing, 78 FORM.-SECOND STEP. Iying, and inclined position, are thus made on the blackboard, the teacher may point to one of the lines-for instance to the verticalasking what name they would give to this line. A standing, upright line, &c. She then gives them the name which is commonly applied to lines of this class in drawing, viz., vertical, which she spells, writes on the board, and makes the children repeat. No further definition is necessary, such as are often give in books, and -which are mostly beyond the child's experience. Nevertheless, for purposes of drawing, or in mechanics, an accurate standard for measuring the vertical direction becomes very desirable. For this purpose the teacher may attach to the end of a string a weight, andl hold it suspended before the class. What line does this string describe? Yes; a vertical line, and in so perfect a manner that we may use it to measure the vertical lines on the blackboard, or elsewhere, as a carpenter or mason measures vertical objects or their edges by means of something very much like this, which he calls a plummet. Let a child come and make some vertical lines on the blackboard. Are they exactly right? WAho thinks they are? Let us decide it with the plummet. The teacher next makes the children examine the horizontal line, and asks whether they have a name for it. She then tells them that instead of flat, or even, the word horizontal is used in speaking of lines. In order to familiarize them with this new name, she may ask them whether they ever stood at the shore of the ocean or some great lake; whether they ever observed a line nwhere the sky and the water seem to meet. She then tells them that this line is called "horizon," and asks which of the lines on the board the horizon seems to resemble most in regard to direction. Lastly, she inquires for the name they would give the oblique line. If they call it sloping or slanting, she may tell them that these words are sometimes used, but that the name "oblique" is generally preferred when applied to lines. The teacher must take care not to reject unconditionally the names which the children may give to these lines, since they are generally correct when applied to things or objects. A recapitulation of the lesson may be had as follows: 9 FORM.-SECOND STEP. 1. The teacher points to the lines on the blackboard, anrel requires their names. 2. She gives the name, and requires the children to draw them, either on the blackboard, or on their own slates. In the latter case she would do well to vary the exercises by saying, Draw four vertical lines of the same length; five horizontal lines, beginning with a short one, and making each successive one a little longer six oblique lines, inclining to the right; seven oblique lines, inclining to the left, &c. 3. She then requires them to point out objects in the room that have a vertical, horizontal, and oblique direction, either as a whole, or considering their edges only. 2. Angles. WAVe have already considered how angles are formed. VWe will only remark here, that a pair of scissors or shears are w)ell calculated to illustrate angles; and the fact that their size depends on the width of the opening, and not on the length of the lines, or, in case of the instruments, on the length of the blades. In order to illustrate the three different kinds of angles, let the teacher present to the class a knife with a straight edge, when questions like the following may be asked:-The teacher (opening the knife haf-way) asks, How much did I open this knife? Trace the angle which it describes. After shutting it a little, she asks, And what is its opening now? Yes; less than before. And now? More than at first. (Shuttin v it enctlAcy): And now? (Opening it entirely): And now? What can you say of the angles in the last two cases? There were no angles. A scholar is then required to draw the angle which was repre. sented by the knife when it was half open. He can give it, of course, the opening lie thinks most appropriate, by guess or other wise. It will, however, generally be found that the child's practical sense will suggest to him that an angle like the one he is reqlired to draw is most easily made by erecting a vertical line upon ~,e end of a horizontal one. InII that case, the name and following definition may be given: A right angle is formed by drawing a so FORM.-SECOND STEP. vertical line from the end of a horizontal one. Let the children repeat this, and try to execute the right angle according to the direction given. Now draw the angle which is represented by the knife when it is less than half open. What did we call the angle you drew before? What can you say of the one you have just drawn? Yes; it is smaller than the right angle. Now I will tell you: an aig,le lwhich is smaller or less than a right angle, is called an acutd c7tMfe. Repeat this. Now draw this angle which is represented by the knife more than half open. How is the angle you have drawn, when compared to the right angle? Greater than the right angle. Now I w-ill give you its name: an angle which is greater than a right angle, is called an obtuse angle. Repeat this. The teacher may finally present to the class a knife with a long blade, together with a smaller one, both half open, and ask, What angles do both of these blades describe? Right angles. WVhich is the greater of the two right angles? They are alike. Whly? Because the blades are both half open, or because they are equally open. Then repeat: Angles are alike when their openings are the same. All right angles are equal. EXERCISES.-I. The teacher draws promiscuously a certain iimnber of angles of different kinds on the board, some of them hardly discernible from right angles, and requires the class to name them. 2. She tells them to draw any kind of angle she describes, as, for instance, an acute angle with a very small opening, another with a wide opening, &c. 3. Shle asks them to point out right, acute, or obtuse angles, as formed by objects they see about them. 3. Perpendicular Lines. Although the children have hitherto been encouraged to form their right angles by the combination of a vertical line with horizontal ones, it will be necessary to generalize the idea. For this purpose the teacher mnay hold up horizontally a slate, and ask 4:v 81 i-' FORMo-SECOND STEP. what angles they perceive on it. Then she may turn the slate so that one corner falls lower than the other, thus: and ask whether the angle they see there is still a right angle. WVhat kind of lines form it? Yes; slanting lines. Then let them draw an angle in the above position. A child does so on the blackboard, and the teacher appeals to the class to determine whether the angle is right. As there may be a difference of opinion, one of the lines mat- ~e prolonged, thus ~ AVhat do you see now? Two angles. Where situated? On each side of one of the lines. What can you say of these angles? What about the size of their openings? (This may be ascertained by measuring, at an equal distance from the point of meeting, across the opening of the angle.) If this point is settled, the teacher tells them: TVhen one line meets another, so that the anyles on each si'le are e'qual to each other, such angles are right angles. And again: Any line which forms a right angle with another, is said to be I)erp)endicular to the other line. ExERICISES.-1. The teacher bids one child draw on the board a line in any direction, and then to draw another line perpendicular to the first. If it should be done incorrectly, then the teacher must apply the test suggested above. The questions to be asked in such a case are: What kind of angle is this? Yes; an acute angle. And this? An obtuse angle. Can the line drawn be a perpendicular? Why not? 2. The class is then required to point out edges of olbjects that are perpendicular to other edgs,e. Pointing to the blackboard, for instance, the teacher may ask, What can you say of these two 82 FORMA.-SECOND STEP. edges with reference to each other? Is it also vertically placed oii that edge? Then is it both perpendicular and vertical? RE\AIRK.-AS the term perpendicular is frequently used in the place of vertical, it may be well to make the class acquainted with this fact; without, however, recommending it, since it may lead to a confusion of ideas. For instance, pointing to a sloping edge of a desk, the teacher may ask, What kind of edge is that placed under it? A vertical one. Is it perpendicular to the sloping one? It is not. 40 Triangles. The teacher draws a right, an obtuse, and an acute angle on the board, and then shuts the opening of each by a third line. She then asks, VWhat do you call these figures now? Of how many lines or sides are they composed? What can you say as to their resemblance or difference? Point out any difference between them; for instance, between the first and second. In the first there is a right angle, which is not in the second; in the second there is an obtuse angle, which is not in the first. What can you say of the angles in the third of these triangles? They are all acute angles See if you can find any acute angles in the first and second figures. How many are there? Point them out. The teacher then may tell them that the names given to these triangles depend on the kind of angles they have. The one which has a right angle in connection with two acute angles, is called a riyAght-anylcd triangleo The other, which has an obtuse and two acute angles, is called an obtuse.angled triangle. The third, which has three acute angles, is called an acute-angled triangle. Repeat this. EXERCISES.-1. The teacher may draw any number of triangles of the above kinds, and require the children to give their names. 2. She requires them to draw any of these triangles according to dictation. 3. She bids them to point out triangular faces of one or the other kind on objects they see in the room. 4 83 FORM.-SECOND STEP. 5. Continuation of Triangles. The triangles in the former exercises were classed by comparing their angles. The teacher now proposes to class themn by comparing their sides. Who can make a triangle having two of ts sides equal, and the other of a different length? Who can make a triangle having all of its sides unequal? Who can make a triangle having its three sides equal? The pupils, in attempting to make these, may possibly fail. In this case the teacher draws the figures for them on the blackboard, and shows them that the angles must have a certain opening, to make the construction possible. The teacher then gives the names: Fig. 1 is called an isosceles triangle. " 2 " scalene " " 3 " equilateral (equal-sided, regular) triangle. After this the children give a definition of each. In the recapitulation the same order of exercises is to be observed as before. 6. Parallel Lines. In order to develop this important idea in a distinct and pleasing manner, the teacher may place before the children two sticks parallel with each other, and then represent themin on the blackboard by two parallel lines. For the sake of obtaining a simple definition of the term parallel, she may remind the pupils of two parallel streets in their neighborhood, and ask the following questions: If one person was walking in one of these streets, and a second person in the other, moving in the same direction, would they be likely to meet? (Pointing to the lines on the blackboard.) Do you think these lines would ever meet? Why not? Answer: Because they do not come nearer each other; because they are equally apart. Now I will tell you, that lines, which are equally apart, and which can never meet, are called parallel liies. What are parallel lines? (Calling on the children.) Can 84 L FOREM.-SECOND STEP. you draw some on the board, which are near together? Others, which are farther apart? Draw two parallel lines of great length. Draw two which are short; draw one long and the other short, yet both parallel with each other. With what instrument do you think I could make any number of parallel lines with much ease and correctness? Where do you find these lines? On writing paper. Where else? Make on your slates five vertical parallel lines. Now five vertical lines not parallel. Is this possible? It is not. Then say, All vertical lines must be parallel. Draw now six horizontal parallel lines. Drawv six horizontal lines not parallel. Is this possible? Then say, Horizontal lines must be parallel. Now draw five oblique parallel lines to the left; five oblique parallel lines to the right; five oblique lines not parallel. Is this possible? Then say, Oblique lines may be or may not be parallel. Are there any parallel lines in a triangle? In a four-sided figure? This latter point we propose to consider more particularly in the next lesson. 7. Four-sided Figures, or Quadrilaterals. As the children have, in the preceding exercises, obtained some insight into the principle of classifying geometrical figures, it is proposed that they should, in this exercise, perform the classification themselves, under the direction of the teacher. For this purpose, draw promiscuously on the blackboard the six different kinds of quadrilaterals; as, for instance,* 1, the trapezium; 2, the square; 3, the trapezoid; 4, the rectangle; 5, the rhomboid; 6, the rliomb. It need hardly be stated, that the teacher must refer to these figures by their numbers only, until their names are given. She now may askl, In which of these figures do you see two pairs of parallel lines-that is, two lines running parallel in one direction, and two running parallel in another? In figs. 2, 4, 5, 6. What can you say of the length of their opposite sides? They are equal. The teacher then selects the figures just named, and draws * For these figures, see Chart of Forms. 85 FORM.-SECOND STEP. them on another line, and says, Four-sided figures, havirng all theit ol)posite sides parallel and equal, are called parallelograms. Repeat the definition. After this, she asks the children which of these parallelograms bear a strong resemblance to each other? Figs. 2 and 4. In what particular are they alike? They have both four right angles. In what are they different, if you comnpare their sides? Fig. 2 has all its sides equal, and fig. 4 has two opposite sides shorter than the other two. Is there any resemblance between the other two parallelograms, figs. 5 and 6? Yes. In what are they alike? In what are they different? The teacher then tells them, that if they will make a full description of each figure she points out, she will give them its proper name. What is this figure? (fig. 2). A parallelogram, of which all the angles are right angles, and the sides equal. The teacher gives the name square, and requires the class to repeat the definition, with the name attached to it. What is this figure? (fig. 1). A parallelogram which has four right angles, and two opposite sides shorter than the other two. The teacher gives the name oblo?g. -VlWhat is this figure? (fig. 6). A parallelogram having two opposite angles acute, and the others obtuse, and all the sides equal. The name rhomb is then given. What is this figure? (fig. 5). A parallelogram having two opposite angles acute and two obtuse, and two opposite sides shorter than the other two. The name rhomboid is then given. There remain now only figs. 1 and 3, which are not classed among the parallelograms. The teacher tells the class that in the description of these two figures, neither the angles nor the length or equality of the sides are considered, but simply the fact of their having any sides parallel or not. She then bids them to describe these figures accordingly, after which she will give their names. Pointing to fig. 1, she asks, What do you see? A four-sided figure, which has but one pair of parallel sides. The name trapezoid is given. What do you see here? A four-sided figure liavin, none of its sides parallel. In order to impress these figures in somewhat modified forms, the teacher may ask whether they could make a 86 FORM.-SECOND STEP. trapezoid with two right angles, or with two lines, or even three lines equal;-a trapezium with two adjacent sides equal, and hay ing all kinds of angles, right, acute, and obtuse. EXERCISES.-1. The teacher draws a number of different four, sided figures on the board, and asks for their names, requiring, if necessary, definitions. 2. She bids the class draw the figures according to her description or classification. 3. She then requires the pupils to point out objects in the room, the faces of which are squares, rectangles, rhombs, rhomboids, &c. N. B.-There will be no lack of objects presenting rectangular faces, such as panes of glass, boards, walls, tables, steps, boxes, houses, &c. In order to supply to some extent a deficiency in rhombical surfaces, an intelligent teacher may present some minerals, in their crystallized shape, which will moreover give them an idea of some regular solids, not often found amongst the works of man. 8. Polygons. As the children are already acquainted with the meaning of five, six, seven, eight-sided figures, it only remains to give them the names by which they are generally known in geometry, and lwhich have at least the advantage of being shorter. Let the figures be drawn on the blackboard by the teacher. A five-sided figure is called a pentagon. A six-sided " " a hexagon. A seven-sidced" " a heptagon. An eight-sided" " an octagon. Let the teacher question the children as to the number of sides, angles, and corners in these various figures, and lead them to discover that it is always the same in each. In order to illustrate the original meaning of polygon, the teacher might draw on the board a figure with a great number of sides, and ask the class how many sides it has. If the children are puzzled to tell exactly the number of sides, she may ask 87 FORM.-SECOND STEP. wh-ether it has few or many sides? It has many sides. It might therefore be called a ntany-si(led figure. Polygon means thle samne thing. She may further state, that any figure including the triangle is classed among the polygons. The definition is now given: A polygon is a figure enclosed by three, or more than three sides. In order to develop the idea reyular, the teacher draws a regular polygon, and asks, WVhat can you say of its different sides and angles? Yes; they are equal. A polygon with its sides and angles equal, is called a regular polygon. Is the square a regular polygon? Is the rhomb? Why not? In order to develop the idea of diagonal, let the teacher draw a line through any of the above figures from one corner to the other, and ask Nwhat she has done. The teacher may tell them: A line drawn fro)P one corner to another throuylh the flgyure is called a diagyosicl. Repeat this. Can any diagonals be drawn in a triangle? How many in a four-sided figure? in a pentagon? hexagon? heptagon? octagon? The amount will prove to be respectively, two, five, nine, fourteen, twenty diagonals. 9. The Circle. The circle is mentioned here last amongst the inclosed spaces, although it is in one sense the simplest of all, and the one which is easiest recognized by children. Yet the perfection of its form, and the reflections that are called forth by it, seem to place it on a somewhat higher step. In order to show the construction of the circle, as well as some of its properties, let the teacher draw, by means of a chalk attached to one end of a strilng, a circular line. What have I been drawing? A round line, a ring, a circle. Let us call the whole figure a circle, and the surrounding line "the circumference." Can you tell me where the middle of the circle is situated? Where you held the other end of the string. (The teacher makes a dot at the point indicated.) How do you know that this is the middle? AVWhlat can you say of its distance from the different points in the circumference? It is the same distance from every point. lWhy must it be so? Let us now call the point in the middle t7he centre 88 r FORM.-SECOND STEP. of a circle. AWhere is the centre. Point out the centre; the circumference; the circle. AVhat can you say in regard to the distance of the circumference from the centre? Is it equally distant in every part from the centre? R. T. The circumference of a circle is a line equally distant in every part from the centre. And what is a circle? It is the space bounded by the circumference. R. T. The circle is the space bounded by the circumference. WVhen the circle was constructed onl the blackboard, by what has the distance between the centre and the circumference been measured? By the string. Let us now imagine the string to be a line which, as the thread is moved round, can assume various positions. The teacl-ler draws several of these lines, and calls one of thiem a radius; several of them, radii. What is a radius? WNhat can you say of the length of the radii? Then say: All the radii of ole chrcle care eqeal. The teacher then may make two radii going in the same direction, and ask how many lines they form. They form but one line. Describe that line-nwhere it begins, through what point it passes, and where it ends. It is drawn from one point of the circumference, passes through the centre, and terminates in an opposite point of the circumference. Let us call a line of this kind "a diameter." AWha1t is a diameter? How many times the length of a radius? Can we draw more than one diameter? How? WhaVt can you say of the length of the different diameters? As it is not proposed here to give a definition of all the parts of divisions of the circle, we limit ourselves to some of the most important ones. As, for instance, A diameter cuts a circle into twco eqzal t)aorts, each of which is called a semicircle. Two diane(ers, ilntersecting at right angles, divide the circle into four equal 1)trts, called quadrants. Any part of the circumference is called all ar1C.* The teacher may show them by what an easy and graceful movement an arc is produced, by simply swinging the arm. Performing the same movement on the blackboard, with chalk in hand, the children will see the arc arise. Does this arc belong to a small or large circle? WAhere do you think its centre would be? * For these figures, see Chart of Forms. 89 FORM.-THIRD STEP. Is the arc which belongs to a large circle, more or less bent than the one which belongs to a small circle? THIRD STEP. Solids. It is perhaps premature to suppose that even in these days of educational progress, a box of solids will be considered as necessary an appendage of the school room, as alphabetical cards or a map of the country. If it should not be found there, it is certainly an easy task for the teacher, as well as the pupils, to manufacture the most important solids, such as the (cylindei, the cone, and a number of pyramids and prisms, from pasteboard. As the word "solid" will be often used in these exercises, the teacher will do well to remark, at the outset, that every extension in length, breadth, and thickness, is called "a solid," which word must not be confounded with the quality "solid," Chiclh would, for instance, never be attributed to water, while nobody will deny that any volume of water has length, breadth, andl thickness, and is therefore a solid, like all other objects. a 1. Prisms. The cube. The teacher places a cube before the chlildclren, and requests them to point out its surface; some of its faces; some corners, edges, &c. Who can tell how many faces there are? What can you say of the form of these faces? What do they represent? What can you say of their size as compared with each other? They are equal. HIlow many edges can voII see? Lead them also to observe that they are parallel. I-To' mrnv corners? Would you like to know the name of this solid? The 'eacher gives the name, and the children repeat it. The teacher may now lead the children to put this descrip 00 FORM.-TTHIRD STEP. tion together, thus: The cube is a solid having six parallel, equal, square faces, twelve edges, and eight corners. What shall we call the face on which this solid stands? Its base. Teacher turns it over. Which now is its base? And now? (turning it over again.) How many different bases may it then have? Yes, six, or as many as it has faces. Let the teacher now produce a cube divided into two sections, so that the faces still remain parallel. How many faces do you see in each of these solids? What can you say of the form of these faces? Some are squares and some are oblongs. Can you give me a name for both these kinds of faces? Yes, they are both parallelograms. The teacher now places before the children a triangular prism, and asks, What kinds of faces, and how many, do you see on the sides of this solid? Yes, three parallelograms. How many and what kind of faces at the ends or bases? Two triangular faces. The children may now be led to give a connected description of this solid, as, "It has three faces on its sides which are parallelograns, and two ends or bases which are triangles." In a similar way the teacher may lead the children to a description of a pentagonal prism, as, "This solid has two fivesided bases, and five faces on its sides, all of which are parallelograms." The teacher now informs the children that all the solids which they have examined and described are called pris?ns. WVe will now see if we can describe a prism. By what kind of faces are all these prisms bounded on their sides? By parallelograms. Their bases are what kinds of figures? Right; some are squares, some are rectangles, others are pentagons, &c. What common name can you give to all these figures? They are all polygons. Then what are the bases of these prisms? They are polygons. Let the children now describe a prism. "A prism is a solid whlose bases are polygons and whose sidcles are parallelograms." The teacher may now tell the ch'ldren that the name given to each of these prisms is determined by the number of sides by which its bases are enclosed. 9-1 FORM.-THIRD STEP. Thus we have three-sided or triangular prisms; four-sided or quadrangular prisms; five-sided or pentagonal prisms, &c. 2. The Cylinder. Describe the object before you. What do you see on its surface? Two circular plane faces, and a rounded face between thlem. If you wanted to make this solid stand, how would you place it? On one of its plane faces. Now I will tell you that the face on which it is supposed to stand is called its base. How many faces can form its base? We will compare these bases one with the other. What can you say of them? Yes, they are equal. Andcl what more can you say of them? They are parallel. If the children do not readily give these answers, the teacher may draw them cut by putting each end upon the board, andcl drawing a mark around it. Compare the circles thus made. The idea of a parallel may be brought out by placing objects upon the table parallel to each other. The name of the solid is cQ!i/7ler. WVho can describe it? The cylinder is a solid, having twio circular ends, which are parallel and equal, and a rounded face between. \TNow name some objects that have a cylindrical form, as lhats, stovepipes, tumblers, rolls, rulers, pillars, &c. 3. The Cone. Describe the surface of this object. It has a circular plane base, and a curved face. Can you tell me the difference between this circular face and the circular face of the cylinder? Yes, it ends in a point. Does it end suddenly in a point, or does it become narrower gradually? Now we will use the word taperiy?g, instead of "becoming narrower," and call the sharp point at the top "apex." The name of the solid is cone. Who can describe it? A cone is a solid, having a plane circular base, and a curved face tapering toward a point, called its apex. Namle some objects 92 FOIAM.-lTIIIRD STEP. which are of a conical shape. The trunks of many trees, carrots, sugar loaves, the peaks of many mountains, &c. RE.ANRKS. —The teacher may show that by cutting off the top of a cone, the remaining piece, which is called a "truncated cone," presents a form which is common to some objects, as, for instance, coal scuttles, pails, &c. 4. Pyramids. The teacher places before the children a number of pyramids of different kinds, and presenting the base of a triangular prism to the children, asks, What is the form of the base of this solid? A triangle. Of this? A square. Of this? A pentagon, &c. Supposing we wished to speak of all their bases together, what could we call them? Polygons. If necessary to bring out this answer, the teacher can refer them to the plane figures they have called polygons. The teacher should always be careful not to answer for children questions which they may be led to answer for themselves. Now look at the faces of these pyramids. What can you say of their number? They do not have the same number. What can you say of their form? They are alike in form. WVhat is their form? Yes; they are all triangles. How does the number of triangles on each compare with the number of sides to the base? Yes; there is the same number of them. Now I will tell you, that all solids of this description are called pyramids. Can you describe a pyramid? A pyramid is a solid, having a polygon for its base, and as many triangles meeting in a point (the apex) as there are sides in the base. The teacher has to add, that according to the number of sides in the base, these solids are called " triangular," " quadrangular,' "pentagonal," "hexagonal," &c., pyramids. EXERCISES.-l1. Select a pentagonal pyramid. Tell how many faces, corners, edges, angles, &e., you find in it. 2. Describe from memory a hexagonal pyramid. Tell how many fztes, corners, edges, angles, &c., you think it has. 93 FOREI.-THIRD STEP. 3. Point out as many objects as you can, the shape of which is like a pyramid. REImAPK.-The teacher may make here an allusion to the most ancient of all monuments, the pyramids of Egypt, and demonstrate how difficult it is to overthrow a pyramid resting on a broad base. 5. Thlze Sphere. As the solid which is presented to the class is already known to them under the name of ball, the teacher gives the more geometrical name of sphere; the object of this lesson being to make them aware of its properties Where is the surface of the sphere? Miark a point on the surface, and one directly opposite on the other side. Supposing I pass a string or a thread from one point over the other, till it returns to the first point, what line does it describe? Now if I cut through the sphere, along the circular line described by the thread, how would the sphere be d(livided? (This operation ought to be performed, or, at any rate, illustrated.) These half spheres are called hemislpheres. How are they called? What is the form of each of the plane faces of these hemispheres? A circle. How can you find the centre of such a circle? Right; by drawing a diameter, and marking a point in its middle. Suppose we put the two parts together again, so as to form a sphere, where is the point we spoke of situated? Plight; in the middle, or the centre of the sphere, an(d as such, it must be equally distant from every part of the surface. Now if you answer carefully all my questions, you will be able to give a simple description of the sphere. What can you say of the shape of the surface? Yes; it is rounded. And whlat can you say in regard to the distance of every point in the surface from the centre? Right; that it is everywhere the same. Then describe the sphere. A sphere is a solid, having a round surface, every point of which is equally distant firom the centre of the sphere. The teacher may now proceed to show that in consequence of 94 FORMI.-THIRD STEP. the property just mentioned, a sphere has the samue dimensions everyvwhere. This would also account for the ease with which it rolls toward any direction. Producing a solid, called a spheroid, hlie may ask the children whether they perceive, in this solid, any difference in its dimensions. Let them point out where the difference exists, both in the oblate and prolate spheroid. EXERCISES.-The teacher must now call on the children to name some objects, the shape of which is that of a sphere; others which are spheroids, such as apples, peaches, cherries, oranges, plums, &c. Of the latter objects again a distinction may be made between those which are oblate, such as oranges, and those which are prolate, such as plums, watermelons, &c. 95o i OBJECTS. INTRODUCTORY REMARKS. FOR many years the sentiment has been gaining ground in this country, that there is something to do in our schools beside simply teaching children to "read, write, and ciphler." It is now very generally acknowledged that an acquaintance with Nature, in her varied forms, is also an important educational attainment, and that a knowledge of things does in its natural order precede a knowledge of words. As a result of this conviction, "Lessons on Objects" have been introduced into very many of the best schools of the country. These lessons, however, have not always been given in a manner best calculated to awaken and cultivate the early faculties of children, and prepare them for the study of Nature. These first exercises with children should be of a character calculated to quicken perception, and to cultivate close and accurate observation and expression. For the teacher to tell the child what she knows about objects, is only to burden the memory, discourage investigation, and weaken the perceptive faculties. The effort should rather be to lead the child to discover for himiself, and then properly to com2itiunicate the result of his observations. It is with this idea prominently in view that the following sketches and series of lessons have been drawn up. The truly successful teacher will rather use these as models, as conveying an idea of the general plan and method to be pursued, and will not confine herself either to the subjects or exact method here laid down. Too much importance, however, cannot be 1, OBJECTS. attached to the teacher's havinrig a definite plan and aim in each lesson. No teacher should ever go before her class without an exact sketch of the lesson she proposes to give., without such preparation, the lesson had better never be given. In the First Step, the Perceptive Faculty is exercised. In the earlier lessons the object is considered as a whole; in the later, as possessing parts-the recognition of these requiring more nminute and accurate exercise of perception. In all the early steps, one important aim is the formation of a vocabulary. In the Second Step, the Perceptive and also the Conceptive Faculties are exercised. In the earlier lessons the object is considered as possessing familiar qualities; in the later lessons, as possessing some important quality which other objects also possess. In the Third Step, the exercise of the Perceptive Faculties serves as the basis of the lesson, the superstructure of which addresses the Conceptive, and especially the Reasoning Faculties. The object is considered in detail, all its parts noted, and all its qualities, except such as are altogether beyond the range of the children's experience. Especially do children consider the uses of the object, and the adaptation of structure, material, or qualities to these. In this Step they often consider two objects at a time, comparing and contrasting them. A little information is often given; still it is not the aim of the teacher to tell them what they can learn from books, but rather to form correct and thorough habits of observation, and develop power of thought. In the Fourth Step, the Faculty of Generalization is exercised, in addition to the other faculties before named. Objects are consideredl in classes: when a single object is taken, it is with reference to art, manufacture, &c. 5 97 OBJECTS.-FIRST STEP. FIRST STEP, I.-Objects Named, Arranged, &c. 1. S?;etch of a Lesson on a -teapot, MLilk Pitcher, CItp, and Saucer. 1 The teacher should first ask the children if they have ever seen such things as these, when they usually see them, and what each of them is called. 2. The teacher calls upon a child to touch the teapot, asking the others if he has rightly done so. The same may be done with each of tile objects. 3. The teacher herself touches one of the objects, and desires all the children n-who know its name to raise their hands; one child is afterward selected to apply the name. The same to be done with each of the objects. 4. The teacher to remove the objects out of sight, and then ask the children what things she has been showing them; this test should be repeated till they caz correctly nmention all the objects from memory. 5. The teacher may require a child to place the objects in a certain order; as the teapot in the middle, the milk pitcher before it, and the cup in the saucer behind it; the ether children saying wlhether it is correctly done they may then be desired to place all of them in a row. The teacher may then put the saucer upon the cup, and ask the children if that is its proper place, and then call a chiid to place it as it ought to be, and also to say what are the proper positions of the cup and of the saucer. 6. The teacher, having arranged the objects in a certain order, desiring the children to observe lhowv thiev are placed, is to remove thei,m, and call upon some child to replace them in the same order; they may then be placed differently, and the samine test be applied. 7o The lesson to conclude with a little talk about the objects-. their nu-lmbler and names; their uses; what is ptut into the teapot, what comes out of it; what is put into the milk i'cher m; lowv the cup is used, &c. Supposing this book to be used by the Educ,'ewe.al Teacher, 98 i, F-' OBJECTS.-FIRST STEP. or Teacher of Method, in the instruction of a class of students, it is of the utmost importance that they should be exercised in draw. ing up sketches corresponding with the patterns given. After examination of the above sketch. the students in training should construct a similar lesson, on plate, knife, fork, spoon, and glass. 2. Sketch of a Lesson on a Basket, a Book, and a Slate. 1. See that the children know these objects and their names, and can themselves apply the proper name to each object. 2. Remove the basket, book, and slate, one by one, and after each has been taken away, call upon the children to say which it is; then take all three away, and let them say what the three things which have been taken away are, and how they were placed before they were removed. 3. Call upon some of the children to place the several objects as directed, thus: the basket in the middle, the books nearer to the window, and the slate on the opposite side. Tell them to observe how they are placed, and then, removing them, desire one of the children again to place them as they were. 4. Next talk about the uses of these objects. How are baskets used, and by whom? For what purposes do the children themselves use them? What have they seen their mothers do with them? Place some books in a basket in a neat and orderly manner, and then desire a child to do the same with others; this will teach them to do such things neatly and tidily. Then ask them what people do with books. Read a line or two in a book, and ask what has been done, and if they would like to be able thus to read. Then talk about the slate, by whom they have seen slates used, and for what purposes. 5. Sum up the lesson by asking how many things have been spoken of, their names, and the ordinary use of each of them. The students in training construct a corresponding lesson on shovel, poker, and tongs. Their attention should be drawn to the general plan of these lessons, thus: I. '.'.'"'" 5 99 OBJECTS.-FIRST STEP. PLAN. 1. Teacher presents the objects; ascertains which the children can name; gives names they do not know, always touching the object named, requiring children to observe it, and causing the names to be simnultaneously repeated. 2. Teacher exercises the children on the names, by pointing to the objects, and letting the children name them; then by inaming the objects, and letting the children touch or bring them. The last part of the lesson will vary according to the objects selected. If these are plate, knife, fork, &c., the teacher will direct attention especially to the arrangement of the objectswhere they would place the plate, if they were going to set the table? where the knife? where the fork? Tongs, poker, &c., candle, candlestick, &c., would be treated similarly; and the arrangement of bonnet, scarf, &c., as parts of dress, show. In the lesson, " Vood, Hatchet, Hammer, &c.," the use of the tools, rather than any arrangement of them, would be exhibited. Terms for prominent parts, as handle, rim, lid, should be given as the parts are noticed by the children. LIST OF SUBJECTS FOR SIMILAR LESSONS. Plate, knife, fork, spoon, glass. Tongs, poker, shovel, hearth brush. Candle, candlestick, extinguisher, tray, snuffers. Bonnet, veil, scarf, gloves, parasol. Needle, thimble, thread, calico, scissors. Pen, ink, paper, blotting book, pen wiper. Penknife, pencil, ruler, India rubber. Wood, hatchet, hammer, gimlet, nail. Clay, stone, sponge, wool, string. II.-Objects for Parts. Including the consideration of 1. Names and Number of Parts. 2. Position of Parts. 100 I.."i t ... -, 1.. OBJECTS.-FIRST STEP. 3. Uses of Parts. 4. Principal, distinguished from Secondary Parts. Any one or two of these points may be taken up in a lesson, which one or two will generally depend on the subject. 1o Skcetc on a Thidmble, for Parts. (Pattern Lesson.) Uses of parts. Names of parts. MATTER. I. —A thimble has a crown, a shield, cells, a border, and a rim. I.-Teachler presents a thimble. Se. lects a child to touch a part. Asks t}e children to name it, and when they fail, gives name, -whichl is simultaneously repeated (S. R.) by the children, and writ. ten on the board (VW. B.). Teacher selects second child to touch a second part, and proceeds as before, until all the parts are distinguished and named. Children read the names from the board. Teacher erases these, and children give them again in order from the top to the bottom of the thimble. II.- 1. Teacher exercises the children on the appropriateness of the names. Child to touch the crown. Wlhy the upper part is so called. Whlat crowns are. Where they are worn. A part of the head is called the crown. Teacher bids a child touch crown, and then touch some higher part. Why he cannot comply withli the latter command. The top) part of the head is called the crown, and a part of the thimble is called the crown, because it is the top Ipart. 2. A child to touch the shield. Teacher shows the picture of a soldier with a sword and shield. Children state use of the sword-of the shield, and why this part of the thimble is so called. 3. Child to touch the cells; show 101 METHOD. II.-I. The crown, so called because it is the top part of the tlilmble. 2. The shield is so called because it keeps the filter from bein, b hurt. 3. The cells are so OBJEOTS.-FIRST STEP. honeycomb and its cells. Children say vlwhy the holes in the thimble are called cells also. 4. A child to touch the border. Its position referred to (near the edge). Children mention ally borders they have seen on any objects, as on handkerchiefs, shawvls, &c. Where these are placed. Why people have borders. Why this part of the thimble is so called. 5. A child to touch the only remaining part-the rim-and give examples of rims on other objects. called because they resemble the cells of the h-ioneycomb. 4. The border is so called because it is an ornament near the edge. NOTE.-Nothing is said about the inside, outside, &c., as dis tinct parts. It is undesirable to mix up the consideration of geometrical with that of material parts; it tends to confuse the children. Students in training construct a sketch on "Penknife," as " Thimnble." The Teacher of Method might next require the class of students to work out exercises on an apple, thus: Find the matter under the heads. Parts found and named. Position of parts described. 2. Exanmi7le of Sketch on an Apple. MIATTER.-I. Parts of an apple. The parts of the apple are pulp, core, seeds, peel, eye, dimple, and stem. II.-Position of parts. The peel covers the apple. The pulp is inside the peel. The core is in the centre of the apple or pulp. The seeds are enclosed in the core. The dimple is at the base of the apple. The stem is at the base, and partly within the dimple. The eye is at the top of the apple. 102 OBJECTS.-FIRST ST~rP. The teacher of Method next requires the class in training to find the method corresponding. Exercise. 'ITFTIIOD.-I. 1. Show an apple. Get the name, and after a little talk about thie use, where it grows, &c., desire a child to touch a part-(the skin). Give the term peel. Children to say what part of the apple they like best. How we are to get at this. WVhether, before this is done, they can find any other part by looking at the outside-(the speck or bud). Give the term eye.-(Thie little hole.) Tell them there is a better name-dim)le. The little dent in the apple is also called dimple. What part is near the dimple? (Stem.) Children name all the outside parts of the apple. (W. B. S. R.) 2. Children allowed to name all the inside parts. Apple cut and examined, to prove whether they are right. (W. B. S. R.) II.-Bring out the position of the peel, by asking why they could not see the pulp of the apple before we cut it open. Position of pulp, core, and seeds brought out by direct questions. Children led to express themselves properly, and S. R. Idea of base developed by making the children ascertain on what part the apple will stand best. If necessary, remove the stem. Let them find the parts near the base. (The dimple and the stem.) Only one part left-where is it? Not at the base, but at the other end of the apple. Give the expression, opposite the base. Suinzmary.-Teacher names the position by requiring children to fill up the ellipses by naming the parts, thus: Outside the pulp is. Under the peel is. In the midst of the pulp is. WVithin the core are. At the base is the . Partly within the dimple, and at the base, is the Opposite the base is the The students in training construct a lesson on the "Penknife," after the model of the lesson on the "Apple." 3. Sketch of a Lesson on a Shell. (Pattern.) For Namnes of Parts. Principal, distinguished from Secondary Parts. Position of Parts. 103 OBJECTS.-FIRST STEP. I.-Parts. 1. Introductory.-Object named, whliere found, and of what use. 2. Parts distinguished and named. Teacher directs the chil. dren to find the largest part of the shell. Excites interest by tell ing them that they can find out the name of this part. What they call the largest part of themselves. (The body.) (S. R.): "The largest part of the shell is called the body." The part of shell next in size pointed out. Children told they can find a name for this also; they must not, however, look at themselves for the name, but at the buildings out of doors. Set the shell on its base, and ask, What part of any building goes up like this? The spire of a church. (S. R.): "The next largest part of the shell is called the sl)ire." Terms body and sp)ire written on the blackboard. II.-I1. Children have next to find the parts of the bodymouth, lips, beak. Teacl-her gives the names, writes them on the board, and requires the children to say why these names are given. 2. Next, children find the parts of the spire-whorls, sutures, and capex. Teacher gives the first and second terms. (S. R.) W7ithl respect to the third term, if they have had lessons on Form, she bids them select a solid that has a part like this part of the shell, telling them that the same name is given to each. They read what is written on the board, which appears thus: ( Whlorls, Spire, Sutures, Apex. III.-Position of Parts. Children led to describe the position of principal parts with respect to each other, and the position of secondary parts with respect to principal, or to each other, as may be most convenient, thus:-The spire is at one end of the body; the mouth is in tle under part of the body; lips around the mouth; beak proceeds from the mouth, and is at the end of the body opposite the spire. Whlorls surround the spire; sutures are between the whorls; apex is at the end of the spire. 104 Moutli, Body, - Lips, Beal,-. OBJECTS.-FIRST STEP. If time allow, these questions should be varied, as, WVhere are the whorls with respect to the apex and the body? or this may be done in recapitulation next day. Saunznary.-Parts given from memory. Position given from memory, if children are quite advanced, and about ready to entef the next Step. Students in training are required to construct a lesson on the " Penknife," after the model of the "Lesson on a Shell." Students in training write a sketch on "Bunch of Grapes," according to the following heads and directions written on the blackboard: 4. A Bunch of Grapes. 1. Parts found and named. (Lead children to distinguish the principal parts first, then the secondary.) 2. Position of Parts. (Of the principal parts with respect to q.ach other. Next take the secondary parts of the stem; next of the berry.) -While considering the position of the principal parts with respect to each other, develop the idea of "cluster." PLAN. Chl-ildren must discover the parts for themselves, and at first may do so in any order, teacher putting them down in the order of discovery. She rearranges them in proper order, according to direction of children, either at once or at the close of the lesson. See " Sketch on the Thimble." It is important that children should be accustomed to recog. nize that there is an order; that " any way" will not do. When tile ideas of principal and secondary parts have been developed, children may be told to find the secondary parts of one principal part first, then the secondary part of another principal part, putting them down as found. This saves time. See "Sketch on Shlell." Children should be encouraged to give any names of parts they know, teacher supplying the rest wh-en arbitrary; but, wh1i6 105 OBJECTS.-SECOND STEP. the name is suggested by any circumstance or quality not beyond the knowledge of the children, it will be well to help them discover the name. Or she may give the name, and let the children say wvhy given. EXAMPLES OF NAMES WHICH MAY BE FOUND BY CHILDREN. Bluebell. Body, spire, and beak (of a shell). Handle. Dimple (of an apple). Bowl (of a spoon). Ribs (of an umbrella). Use of parts should be shown by children whenever possible. Position and uses not usually written on the board. S FOR 'Watch. Table 'Wheel. Chair. Shoe. Pail. Carpenter's tools. (Refer also to list on page 90.) SECOND STEP. In this Step the children are led to distinguish between the object and its qualities. I.-An object is distinguished by its most simple and familiar qualities. II. —The idea of one essential and distinctive quality is systematically developed. I. Simple and Common Qualities of Objects. As an example of a lesson on an object distinguished by its most simple and common qualities, take 1. T]ater. (Pattern.) ,rhat is in this cup? Water. (Teacher pours a little on a piece of paper, or of linen.) What has the water done to the 106 Spade. Fruit. Articles of jewelry. Kitelien utensils. OBJECTS.-SECOND STEP. paper? Miade it wet. Now observe me. (Teacher pours it out it drops.) What do you observe, now that I pour it out little by little? It forms itself into drops. Tell me, then, how the water is unlike the flint. The flint does not make the paper wet. It does not form itself into drops. What, then, can you say of water? Water is a liquid. Tell me some other liquids. Beer, milk, &c. Anything you can pour out so as to form it into drops, is called a liquid. Now look into the cup of water; what do you see? We see a mark at the bottom of the cup. Here is another cup with the same mark at the bottom; look at it. (The teacher pours in a little milk.) Look at the mark again. We cannot see it now. Why not? You have covered it with milk. But the mark in this cup is covered by water, and yet you see it; how is this? We can see through the water. What, then, can you say of water? We can see through water. Find some other thing in the room that you can see through. The glass. Look at the water again, and find out something more that you can say of it. It shines. Yes; it is bright. All of you repeat, "'WVater is bright." What color is the flint? Black. What can you say of the water? Look at these colors (showi?g a red ,wafer, green leaf &c.). Which of these is the water like in color? None of them, teacher. What, then, must we say of it? Water has no color. (The teacher calls upon some of the children to taste the water.) What do you observe? It is cold. What taste do you perceive?-you cannot tell me. Has it any taste? No. What, then, can you say of it? It has no taste. Repeat together, "Wvater has no taste." What use have you made of water to-day? We have washed ourselves with it. What quality of water makes it useful for washing? Its being liquid. Beer is also a liquid; why do you not wash in beer? We should smell the beer. Then why do you prefer water for washing? It has no smell. What other ob jection is there against washing in beer? It would not make us clean; it would leave a brown stain. Why, then, is water a proper liquid to use for washing? Because it has neither smell nor color, and it cleanses from dirt. When are you very gladcl to be able to have water? When we are thirsty. Tell me, then, 5* 107 OBJECTS.-SECOND STEP. another use of water. It is useful for drinking. Water, you see, is essential to every one; can you tell me some liquids that we might do without? Yes; beer and gin. But what can we say of water?*? What can we most easily procure? Water. Yes; and as every one needs water, God has kindly supplied every country with it in abundance. Repeat together what you have found out about water. "Water is a liquid; we can see through it; it is bright; it has no color, nor any taste, nor any smell; it is cold; it is used for washing and for drinking; and because water is necessary to man, God has given to every country an abundant supply." t The students in training construct a lesson on "Milk," modelled after the "Lesson on Water." 2. Lead. What is this? Lead. Can allny of you tell me where lead comes from? Does it come from an animal? Is it -part of a plant? Where, then, does it come from? It comes out of the earth. God has not only given us animals and vegetables to be useful to us, but he has stored up in the earth a great many things for our use: tell me one of them. Lead. Now take this lead into your hand; what do you find? It is heavy. Look at it, and tell me what you see. Part of it is very bright, where it has just been cut. And what is it everywhere else? Dull. When is it bright? When it has been freshly cut. When is it dull? When it has been some time in the air. Of what color is it? It is gray. Now feel it. It is hard. John may come and cut it with his knife. Now what can you say of it? It is hard to the touch, but it is easily cut. I put some of it into water; what happened to the lead whlen I put it into the water? It fell to the bottom. Vould the feather have done so? No. WNIhy did the lead sink? * The teacher might remark upon the goodness of God in abundantly supplying every one everywhere with that liquid which is essential to comfort; whilst the noxious spirit is obtained by art and labor, and at great cost. t It is most desirable that children should be eally taught to write, or print; and printing on their slates all they can recollect of their lessons, forms a most improving exercise. In mixed schools this would flrnish emnployment to one set of children while the teacher is engaged with another. 108 OBJECTS.-SECOND STEP. Because it is heavy. Did you knlow it was heavy before you saw it sink? Yes; we felt it heavy in our hands. Is there any child here whose father works in lead? Yes;* Jolhn's father works in lead. What is he called? A plumber. People who work in lead are called plumbers. Well, John, tell us what your father does with lead. He makes windows. What sort of windows-those like the windows of this school root? Noo; windows made with little bits of glass. Where do you generally see such windows-in large houses, or in small ones? What is the use of the lead in windows such as these? It fastens the pieces of glass together. What have our windows for this purpose? Wood. And what is used to fasten the glass to the wood? Putty. But in church windows, what is sometimes used? Lead. Yes; lead is used to fasten the glass together. Now, John, what other use does your father make of lead? He makes pipes. All who can tell me what is the use of leaden pipes, hold up their hands. To convey water. Yes; to convey water from one place to another. Who can tell me any other use of lead? It is used for cisterns. What is the use of cisterns? They hold water. What use do fishermen make of lead? They put it on their nets. Why? To make one edge of the net sink in the water. VWhly does the lead make that part of the net sink? Because it is very heavy. AV"ell, now repeat all you have said about lead. "Lead comes out of the earth; when it is freshly cut it is very bright; but after it has been in the air for some time, it becomes dull; it is very heavy; its color is gray; it is hard to the touch, but it is easily cut; lwhen put into water, it sinlks; people who work in lead are called plumbers; they use it to fasten together the glass of church windows; to make pipes to convey water, and cisterns of lead to hold it. Lead is also used in fishermen's nets." The students in training construct a lesson on "Wood," modelled after the one on "Lead." Attention of students should be directed to the general plan * It may be that the child of a plumber is present at the lesson; it must occasionally happen that some have seen the materials brought before them at slcool, used by their parents or others. A teacher should always make the most of aly information the children may already possess. 109 t' OBJECTS.-SECOND STEP. of these lessons. The children are led to notice first the qualities, then the uses, and lastly those qualities on which the uses depend. LIST OF OBJECTS. This it is unnecessary to give, as any common objects will do. LIST OF QUALITIES TO BE DEVELOPED AT THIS STEP. Simple qualities referring to Substance; as, hard, soft, tough, brittle, liquid, &c. ~~" " ~Surface; as, rough, smooth, plane, fiat. " Condition; as, hot, cold, cool, warm, dry, moist, full, empty. " "Shape; as, tapering, pointed, rounded, jagged, broken, torn, &c. " Direction; as, straight, curved, crook ed. See "Lessons on Form." "s " Size; as, large, small, thin, thick, deep, shallow, etc. " Color; as, red, blue, green. See "Lessons on Color." ~~" " ~Number; as, one, two, &c., up to ten. After a course of these lessons, the children, being made acquainted with common objects and their common qualities, may receive a few recapitulatory lessons on several of these in combination. EXAMPLE. 3. Sketch of a Lesson on "Distiznguishing Objects by their Qualities." I. Introduction.-Bring before the children a large, round, ripe apple-a sheet of thin, smooth, pink paper-a slender, pointed cedar pencil-a piece of narrow, blue silk ribbon-an oblong, shallow wooden box-a square, white linen pocket handkerchief. Let the children give the name of each object, teacher writing the initial letter of each on the board as given, and requiring children to sav what each letter stands for. 110 F I I OBJECTS.-SECOND STEP. II. Ideas Developed.-Teacher requires the children to say something of the apple as to size (large); as to shape (round); as to fitness for food (ripe). How other apples may be unlike this. AVhat we can say of this apple. (It is a large, round, ripe apple.) Children to describe the paper as to texture (thin); as to surface (smooth); as to color (pink). Other papers mentioned unlike this-tissue, brown, &c. How wNe can describe this sheet of paper. (It is a sheet of thin, smooth, pink paper.) Children to describe the pencil. Compare with thicker pencil; as to girth (slender). Compare with uncut pencil; as to condition (pointed). Of what material is it made? (Wood and lead.) Tell them the w ood is called cedar. Proceed in this way with the remaining objects. Summary.-Children to name the objects from the board, and describe them from memory. Students ill training select six objects, upon which they construct a similar sketch. II. Essential and Distinctive Qualities of Objects. For the idea of one essential and distinctive quality systematically developed, take 1. Sketch oat the Devclo2gnent of the Idea of Adhesive Gu7m, for Adhesive. MATTER. 1. Gum will stick. 1. Show this by experiment with postage stamp. 2. Term given. Questioned on. S. R. and AV. B. 3. Such examples found by the childreni. 2. Gum is therefore said to be adhesive. 3. Glue, melted sealing wax, and molasses, are also adhesive. 4. Those things that will stick to other objects, are said to be adhesive. 4. Children led to draw this general conclusion, which is committed to memory. Students in training construct a sketchl on "Idea of Inflammable," modelled after the one on "Adhesive." ill METHOD. O)BJECTS.-SECOND STEP. Toward the close of this Step, two or three qualities connected, or contrasted, may be taken together. EXAMPLE. 2. Idea of Transparent, Semi-transparent, and Translucent. 1. Bring before the children a piece of glass and a key. Hold the key behind a slate, also behind the piece of glass, and require them to notice the difference. What they can say of the glass, that they cannot say of the slate. Give the term that distinguishes things we can see through, and let the children repeat, "Glass, because we can see through it, is said to be transparent." Require them to give examples of things they can see through, as well as through glass; also what such things are said to be. 2. Place a knife with a white handle in some tea, and again behind the glass. WVhat the glass shows about the knife, which the tea does not (the color). Lead them to recognize that they can clearly see through the glass, but only partly through the tea. Refer again to the term which distinguishes things through which we can clearly see, and let them try to find a term for anything through which we can partly see. Give the term, thus: Tea, because we can see partly through it, is said to be semi-transparent. Explain the meaning of semi. Get examples of both terms, to be written on the board. 3. Place the knife behind a china plate. Children to say how it looks. (They cannot see it at all.) Hold the plate, with the knife behind it, opposite the window; the shape of the knife can be seen. Explain to the children that the light can pass through the plate, except where the knife stops its passage. What they can say of the knife. (It is opaque-idea previously developed.) VWhat they can say of the plate. We can see light through it. Give the term translucent, with definition. Get examples, and write on the board as before. Sutnniary.-Children say how well they can see througli anythling transparent (clearly).,What they cannot see through anything which is semi-transparent (color). What only they can 112 it,- I'll R. I I OBJECTS.-SECOND STEP. see through anything which is translucent (form). In conclusion, give the general definition of each term. Students construct sketch on three kinds of Romundness (Globular, Cylindrical, and Circular), as sketch on "Transparent," &c. As a final exercise, the children may be tested in discovering objects by the mention of their qualities. Teacher says: I have something hidden in my hand (a blade of grass). It is long; it is narrow; it is pointed at one end; it is flexible; fibrous; vegetable; green. Speaking thus, the teacher pauses between each term, allowing the children to judge as she proceeds, and making them name the quality which led to the discovery of the object. Sealing wax:-It is long; it is smooth; it is colored; it is inflammable; fusible; impressible. Drinking glass:-It is bright; it is ]lard; smooth; sonorous; hlollow, and transparent. Judgment mnust be shown in putting the more general qualities first, and the more special afterward. LIST FOR DEVELOPING IDEAS AS TO THE QUALITIES OF OBJECTS. Paper, as being.. Leather... Glass... Cotton... Cork... Card Or Cane, String Cloth... Whalebone, India rubber, Sponge BWater... -Vood... Loaf Sugar.. A Mirror, or WVater, Sponge... Bread... Chalk... Flax and Hemnp. Gum.... Lead.. 113 Inflammable. Tough. Brittle. Soft. Light. Flexible. Pliable. Elastic. Liquid. Solid. Sparkling. Reflective. Absorbent. Porous. Crumblino,. b Fibrous. Soluble. Fusible. OBJECTS.-TIIIRD STEP. Water-proof. Durable. . Impressible. Adhesive. Odorous. Fragrant. e Semi-transparent, Acid. Tasteless. Pungent. . Granular. Oil-skin Leather. Sealing-wax. Glue Camphor Lavender. Horn or Gum. Cloves. WVater. Ginger. Salt or Sand. J,IST OF CONNECTED OR CONTRASTED LATION. Soft, hard, tough. Light, heavy, buoyant. Rough, smooth, polished, adhesive. Stiff, pliable, flexible, elastic. Brittle, rotten, fragile, friable, pulverable. Fibrous, granulous. Inflammable, fusible, soluble. Porous, absorbent, waterproof. THIRD STEP. In this Step a more thorough examination of the object is made. We consider Parts, Qualities, Uses. Adaptation of Qualities to Use. Qualities as discovered by the senses, or by simple ex periment. The less obvious Qualities. Qualities as depending on one another. Adaptation of Material or Structure to Use. 114 QUALITIES, FOR RECARITC, 1. 2. 3. 4. 5. 6. 7. 8. l l OBJECTS.-THIRD STEP. Sometimes two objects are taken for comparison in respect to any of these points. In this Step, as the subjects of the lessons go beyond the range of the child's immediate experience, some information may be given. Let it be remembered, however, that the mind of the child may be exercised as much on information given him by the teaclher, as on anything he can discover for himself. The teacher who tells the child a fact, requires him to state the cause, or the effect, or some other relation. For everything told to the pupil, the latter should be required in return to tell something bearing on what has been told to him. Tell him that a substance cast into the form of a hollow cylinder is stronger than the same quantity of matter in a solid form; let him say why the barrel of a quill is hollow, and not solid. Tell him what places the kingfisher frequents, and let him infer the character of its food. Tell him that the fur of animals thickens at a certain period of the year; let him discover when and why. Tell him that the concentric circles in the trunk of a tree are not equal in diameter; let him find any circumstances likely to account for the fact. 1. Sketch of a Lesson on an EEgg. Point.-Parts, qualities, uses, and qualities on which the uses depend. MATTER. METHOD. I. Parts. —The parts I. Parts. —Show an egg, and let the of an egg are the shell, children name its parts. Break the egg, liinin g, albumen, en- and show each part, correcting any errors velop e, air bag, and they have made. Let the children obyelk. serve how these parts are placed with re spect to each other:. e., the shell is out side, the lining is inside the shell, &c. Write the parts, and their position, on tle board. Draw the term lining from the children. Give the terms albumen, air bcy, envelolde. II. Qualities.-The II. Qualities.-Develop oval, by comshell is oval, white, paring the egg with a sphere. Develop ii:; OBJECTS.-TIIIRD STEP. hardness, by comparing it with an orange. Brittle, by referring to the experiment of breaking the egg just performed. Develop translucent, semni-transparent, and opaque together, by comparing the different parts of the egg one with another, but apply the terms separately to the proper substances. iyelwopuean Develop semifluid, by comparison of a solid and a fluid. Write the qualities on the board. III. -Draw from the children, by questions, the uses of eggs, and the qualities on which the uses depend. By comparison of eggs as prepared for our food, and for that of little birds, lead them to see that birds must have a much stronger digestion than we. From the use made of the albumen, let them say what quality it must possess. This will prepare them for the next question-why we put eggs into puddings? We need not make a thick, heavy paste of flour: a little flour will do, or even crumbled bread, when we have enough eggs. III. Tses, and q aalities on which uses deiend.-Eggs are used as food for man, and then must be lightly cooked, or we should not readily digest them. As food for young birds, they must be boiled hard like leather. Eggs are put into cakes and puddlings, because adhesive and light. The albumen is used to mend china and glass, because adhesis-e. Tile shells are good for fowls to mix with their fbod. S,ztmeiry.-Read from the board, and repeated from memory. Students in training construct a sketch of a "Lesson on a Peach," modelled after the "Lesson on an Egg." 2. Sketch on Comparison of Orange and Apple. Poi?t.-Parts, qualities, uses, and qualities on which uses depend. MATTER. METHOD. I. Ressemblances. I. Resemblances. 1. Qualities. Both 1. That these fruits are nattral, is are natural, vegetable, brought out by reference to the works of juicy, (nearly) spheri- God and man, children giving examples. I .1 116 hard, translucent, and brittle. The lining is translucent, -%vhite, thin, and tough. The -albumen is semi-transparent, adhesive, and semi-fluid. The yelk is yellow, opaque, and fluid. I OBJECTS.-THIRD STEP. Vegetable, by referring to the different kingdoms. Juicy, by experiment (cutting fru.it). Spherical, by comparison with a coin or ring. Wholesomne, by reference to a horse chestnut; distinguished firom noutrishing, by comparison with an egg. Pleasant to the taste, by experiment, or an appeal to memory. (WV. B.) 2. Children find out the corresponding parts, and the position of each, by observation. It. Differences in the arrangement, substance, color, and in presence and absence of core, brought out by observation. 2. Parts. Both have seeds in the midst, peel, and pulp. II. Differences. 1. Pulp. The pulp of an orange is yellow, divided, and without a core. The pulp of an apple is whilte, undivided, and contains a core. It is harder than the pulp of an orange. 2. Peel. Orange peel is thick, somewhat rough, and orange color. Apple peel is thin, smooth, and varies in color. III. Uses, and qualities on which uses depend. 1. Apples are made into sauce, tarts, cider, &c. Are best when cooked. 2. Oranges make candy, marmalade, wine. Are best uncooked. Each eaten because pleasant to the taste, and wholesome. IV. Growth, cultivation, &c. 1. Apples are grown in moderately warm III. Appeal to experience and reason of children. 1. Teacher refers to map, and points out States where apples grow. Children de 117 IV. OBJECTS.-THIRD STEP. climates. A planta- cide as to the kind of climate that is tion of apples is called necessary for their growth. an orchard. 2. Oranges grow in 2. Proceed the same for oranges. hot climates. A plantation of oranges is called an orangery. Sunmmnary.-Write heads on the slate. Children give matter. Third head left out, because not essential to be committed to memory. Students in training construct a sketch of a "Lesson on Kid Glove and Kid Slipper," modelled after the "Lesson on Orange and Apple." 3. Sketch on ComIcarison of Cor2k and Sponge. Point.- Quality on which uses depend, and dependence of one quality on another. METHOD. I.-1. Brought out by reference to the works of man. 2. Children asked where it comes from. Told that it is the bark of a tree. 3. Children told that the tree grows in distant countries. 4. Children referred to water as the standard weight. The lightness of cork shown by experiment. 5. Show different specimens, and let children name the color. 6. By experiment. 6. Cork is compressible and elastic. 7. Cork is porous. 7. By direct observation with a magnifying glass, and comparison with dense substances, as minerals. 8. By experiment. 8. Cork is imnpervious and buoyant. 118 MATTER. T.-I. Cork is natu ral. 2. Cork is vegetable. 3. Cork is foreign. 4. Corl,- is li,lit. 5. Cork is brown. I i OBJECTS.-'I'-IIRD sTEP. II. Sponge is a natural animal substance, light, brown, compressible, elastic, porous, a-nd absorbent. IiI. Qualilies de oete one anoil e). 1. Cork is buoyant, not merely because it is light, but because it is impervious. Cork is impervious because its pores are small, and but little connected. 2. Sponge is absorbent, because its pores are large and connected. IV. Uses, and qualities on which uses depend. 1. Cork is used for life boats, cork legs and arms, because buoyant and liglt; for sol es of soes, because impervious; for stoppers of bottles because imperviotis, elastic, and cornpressible. 2. Sponge is useful for wvasling,, because abs